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Equation Array Exceed Right Margin


eqnarray vs alignHow to prevent text generated with `Sweave` from running off the right margin?Equation array troublesMulti-line equations in latexEquation left marginMinted. Code highlighting right marginHow to prevent the label of a long equation running into the right margin?Modify right MarginRight margin exceedsArray in multiple linesVertical alignment of different systems of equations













4















I write equations in eqnarrayuse Latex, but there are lines that exceed the right margin, how to fix it?



This is my code:



begineqnarray 
 k_1&=&hf(t_i, y_i)=hf_i label$k_1$ RK-4\
 k_2&=&hf(t_i+p_1h, y_i+q_11_k1)nonumber\
 &=&h(f_i+p_1hf_t+q_11k_1f_y)nonumber\
 &=&h(f_i+p_1hf_t+q_11hf_if_y)\ 
 k_3&=&hf(t_i+p_2h,y_i+q_21k_1+q_22k_2)nonumber\
 &=&h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y)nonumber\
 &=&h(f_i+p_2hf_t+q_21hf_if_y+q_22 h(f_i+p_1hf_t+q_11hf_if_y)f_y)nonumber\
 &=&h(f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y +q_22h^2p_1f_tf_y+q_11q22h^2f_i(f_y)^2)\
 k_4&=&hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3)nonumber\
 &=&h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y)nonumber\
 &=&h(f_i+p_3hf_t+q_31hf_if_y+q_32 h(f_i+p_1hf_t+q_11hf_if_y)f_y +q_33h(f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+q_21q_22h^2f_i(f_y)^2)f_y)nonumber\
 &=&h(f_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y +p_1q_32h^2f_tf_y +q_11q_32h^2f_i(f_y)^2+q_33hf_if_y+p_2q_33h^2f_tf_y+q_21q_33h^2f_i(f_y)^2+q_22q_33h^2f_i(f_y)^2+q_22q_33p_1h^3f_t(f_y)^2+q_11q_22q_33h^3f_i(f_y)^3)\
endeqnarray


and this is the result:



enter image description here






equations margins eqnarray







share|improve this question









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  • 3





    The equation is too wide because it is too wide. However, you already know how to introduce line breaks. Please note that most users have switched to align instead of eqnarray. (However, the latter does not solve the problem automatically, breqn does in principle but I personally would rather break the lines by hand than using breqn.)

    – marmot
    12 hours ago











  • I got it, thank you.

    – liswyhy
    12 hours ago







  • 1





    @liswyhy Just to remind you that the >s in your code block prevent your code from being compilable. Removing that is better. (and I did it for you.)

    – JouleV
    9 hours ago
















4















I write equations in eqnarrayuse Latex, but there are lines that exceed the right margin, how to fix it?



This is my code:



begineqnarray 
 k_1&=&hf(t_i, y_i)=hf_i label$k_1$ RK-4\
 k_2&=&hf(t_i+p_1h, y_i+q_11_k1)nonumber\
 &=&h(f_i+p_1hf_t+q_11k_1f_y)nonumber\
 &=&h(f_i+p_1hf_t+q_11hf_if_y)\ 
 k_3&=&hf(t_i+p_2h,y_i+q_21k_1+q_22k_2)nonumber\
 &=&h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y)nonumber\
 &=&h(f_i+p_2hf_t+q_21hf_if_y+q_22 h(f_i+p_1hf_t+q_11hf_if_y)f_y)nonumber\
 &=&h(f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y +q_22h^2p_1f_tf_y+q_11q22h^2f_i(f_y)^2)\
 k_4&=&hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3)nonumber\
 &=&h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y)nonumber\
 &=&h(f_i+p_3hf_t+q_31hf_if_y+q_32 h(f_i+p_1hf_t+q_11hf_if_y)f_y +q_33h(f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+q_21q_22h^2f_i(f_y)^2)f_y)nonumber\
 &=&h(f_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y +p_1q_32h^2f_tf_y +q_11q_32h^2f_i(f_y)^2+q_33hf_if_y+p_2q_33h^2f_tf_y+q_21q_33h^2f_i(f_y)^2+q_22q_33h^2f_i(f_y)^2+q_22q_33p_1h^3f_t(f_y)^2+q_11q_22q_33h^3f_i(f_y)^3)\
endeqnarray


and this is the result:



enter image description here






equations margins eqnarray







share|improve this question









New contributor




liswyhy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.















  • 3





    The equation is too wide because it is too wide. However, you already know how to introduce line breaks. Please note that most users have switched to align instead of eqnarray. (However, the latter does not solve the problem automatically, breqn does in principle but I personally would rather break the lines by hand than using breqn.)

    – marmot
    12 hours ago











  • I got it, thank you.

    – liswyhy
    12 hours ago







  • 1





    @liswyhy Just to remind you that the >s in your code block prevent your code from being compilable. Removing that is better. (and I did it for you.)

    – JouleV
    9 hours ago














4












4








4


0






I write equations in eqnarrayuse Latex, but there are lines that exceed the right margin, how to fix it?



This is my code:



begineqnarray 
 k_1&=&hf(t_i, y_i)=hf_i label$k_1$ RK-4\
 k_2&=&hf(t_i+p_1h, y_i+q_11_k1)nonumber\
 &=&h(f_i+p_1hf_t+q_11k_1f_y)nonumber\
 &=&h(f_i+p_1hf_t+q_11hf_if_y)\ 
 k_3&=&hf(t_i+p_2h,y_i+q_21k_1+q_22k_2)nonumber\
 &=&h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y)nonumber\
 &=&h(f_i+p_2hf_t+q_21hf_if_y+q_22 h(f_i+p_1hf_t+q_11hf_if_y)f_y)nonumber\
 &=&h(f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y +q_22h^2p_1f_tf_y+q_11q22h^2f_i(f_y)^2)\
 k_4&=&hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3)nonumber\
 &=&h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y)nonumber\
 &=&h(f_i+p_3hf_t+q_31hf_if_y+q_32 h(f_i+p_1hf_t+q_11hf_if_y)f_y +q_33h(f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+q_21q_22h^2f_i(f_y)^2)f_y)nonumber\
 &=&h(f_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y +p_1q_32h^2f_tf_y +q_11q_32h^2f_i(f_y)^2+q_33hf_if_y+p_2q_33h^2f_tf_y+q_21q_33h^2f_i(f_y)^2+q_22q_33h^2f_i(f_y)^2+q_22q_33p_1h^3f_t(f_y)^2+q_11q_22q_33h^3f_i(f_y)^3)\
endeqnarray


and this is the result:



enter image description here






equations margins eqnarray







share|improve this question









New contributor




liswyhy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












I write equations in eqnarrayuse Latex, but there are lines that exceed the right margin, how to fix it?



This is my code:



begineqnarray 
 k_1&=&hf(t_i, y_i)=hf_i label$k_1$ RK-4\
 k_2&=&hf(t_i+p_1h, y_i+q_11_k1)nonumber\
 &=&h(f_i+p_1hf_t+q_11k_1f_y)nonumber\
 &=&h(f_i+p_1hf_t+q_11hf_if_y)\ 
 k_3&=&hf(t_i+p_2h,y_i+q_21k_1+q_22k_2)nonumber\
 &=&h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y)nonumber\
 &=&h(f_i+p_2hf_t+q_21hf_if_y+q_22 h(f_i+p_1hf_t+q_11hf_if_y)f_y)nonumber\
 &=&h(f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y +q_22h^2p_1f_tf_y+q_11q22h^2f_i(f_y)^2)\
 k_4&=&hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3)nonumber\
 &=&h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y)nonumber\
 &=&h(f_i+p_3hf_t+q_31hf_if_y+q_32 h(f_i+p_1hf_t+q_11hf_if_y)f_y +q_33h(f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+q_21q_22h^2f_i(f_y)^2)f_y)nonumber\
 &=&h(f_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y +p_1q_32h^2f_tf_y +q_11q_32h^2f_i(f_y)^2+q_33hf_if_y+p_2q_33h^2f_tf_y+q_21q_33h^2f_i(f_y)^2+q_22q_33h^2f_i(f_y)^2+q_22q_33p_1h^3f_t(f_y)^2+q_11q_22q_33h^3f_i(f_y)^3)\
endeqnarray


and this is the result:



enter image description here






equations margins eqnarray




equations margins eqnarray






share|improve this question









New contributor




liswyhy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question









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Check out our Code of Conduct.









share|improve this question




share|improve this question








edited 7 hours ago









Mico

283k31388775




283k31388775






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asked 12 hours ago









liswyhyliswyhy

363




363




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New contributor





liswyhy is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






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Check out our Code of Conduct.







  • 3





    The equation is too wide because it is too wide. However, you already know how to introduce line breaks. Please note that most users have switched to align instead of eqnarray. (However, the latter does not solve the problem automatically, breqn does in principle but I personally would rather break the lines by hand than using breqn.)

    – marmot
    12 hours ago











  • I got it, thank you.

    – liswyhy
    12 hours ago







  • 1





    @liswyhy Just to remind you that the >s in your code block prevent your code from being compilable. Removing that is better. (and I did it for you.)

    – JouleV
    9 hours ago













  • 3





    The equation is too wide because it is too wide. However, you already know how to introduce line breaks. Please note that most users have switched to align instead of eqnarray. (However, the latter does not solve the problem automatically, breqn does in principle but I personally would rather break the lines by hand than using breqn.)

    – marmot
    12 hours ago











  • I got it, thank you.

    – liswyhy
    12 hours ago







  • 1





    @liswyhy Just to remind you that the >s in your code block prevent your code from being compilable. Removing that is better. (and I did it for you.)

    – JouleV
    9 hours ago








3




3





The equation is too wide because it is too wide. However, you already know how to introduce line breaks. Please note that most users have switched to align instead of eqnarray. (However, the latter does not solve the problem automatically, breqn does in principle but I personally would rather break the lines by hand than using breqn.)

– marmot
12 hours ago





The equation is too wide because it is too wide. However, you already know how to introduce line breaks. Please note that most users have switched to align instead of eqnarray. (However, the latter does not solve the problem automatically, breqn does in principle but I personally would rather break the lines by hand than using breqn.)

– marmot
12 hours ago













I got it, thank you.

– liswyhy
12 hours ago






I got it, thank you.

– liswyhy
12 hours ago





1




1





@liswyhy Just to remind you that the >s in your code block prevent your code from being compilable. Removing that is better. (and I did it for you.)

– JouleV
9 hours ago






@liswyhy Just to remind you that the >s in your code block prevent your code from being compilable. Removing that is better. (and I did it for you.)

– JouleV
9 hours ago











2 Answers
2






active

oldest

votes


















7














In addition to inserting some line breaks by hand in the final two rows, you also need to fix some of the notation by adding curly braces as needed in the terms q_11, q_21, q_22, etc. (And _k1 should be k_1, right?) When the parenthetic structures are nested, it helps readers if square brackets and curly braces are used in addition to round parentheses, to help detect the orders of the parentheses.



And you most definitely should not be using the badly deprecated eqnarray environment. Use the align environment, which is provided by the amsmath package, instead.



enter image description here



documentclassarticle
usepackageamsmath % for 'align' environment and 'notag' macro

begindocument
beginalign 
 k_1 &= hf(t_i, y_i)=hf_i labelk1_RK_4\
 k_2 &= hf(t_i+p_1h, y_i+q_11k_1) notag\
 &= h(f_i+p_1hf_t+q_11k_1f_y) notag\
 &= h(f_i+p_1hf_t+q_11hf_if_y)\ 
 k_3 &= hf(t_i+p_2h, y_i+q_21k_1+q_22k_2) notag\
 &= h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y) notag\
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22h(f_i+p_1hf_t+q_11hf_if_y)f_y] notag\ 
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+q_11q_22h^2!f_i(f_y)^2]\
 k_4 &= hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3) notag\
 &= h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y) notag\
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32h(f_i+p_1hf_t+q_11hf_if_y)f_y notag\
 &qquad +q_33h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y notag\
 &qquad +q_21q_22h^2!f_i(f_y)^2]f_y notag\ 
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y+p_1q_32h^2!f_tf_y+q_11q_32h^2!f_i(f_y)^2 notag\
 &qquad +q_33hf_if_y+p_2q_33h^2!f_tf_y+q_21q_33h^2!f_i(f_y)^2+q_22q_33h^2!f_i(f_y)^2 notag\
 &qquad+q_22q_33p_1h^3!f_t(f_y)^2+q_11q_22q_33h^3!f_i(f_y)^3
endalign
enddocument





share|improve this answer























  • I forgot to mention another adjustment I made: I inserted negative thinspace (!) in all instances of either h^2 or h^3 being followed by f. This avoids creating "visual holes" in the formulas.

    – Mico
    4 hours ago


















5














Besides the standard advice of not using eqnarray for whatsoever reason, see eqnarray vs align, I'd recommend using split for this, so to divide each block into a single unit.



With the tbtags option, we ensure that the number attached to a split equation is added at the bottom (when equation numbers are on the right) or at the top.



documentclassarticle
usepackage[tbtags]amsmath % for math

begindocument
beginalign 
k_1 &= hf(t_i, y_i)=hf_i labelk1_RK_4
\
beginsplit
k_2 &= hf(t_i+p_1h, y_i+q_11k_1) \
 &= h(f_i+p_1hf_t+q_11k_1f_y) \
 &= h(f_i+p_1hf_t+q_11hf_if_y)
endsplit
\
beginsplit
k_3 &= hf(t_i+p_2h, y_i+q_21k_1+q_22k_2) \
 &= h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y) \
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22h(f_i+p_1hf_t+q_11hf_if_y)f_y] \ 
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+
 q_11q_22h^2!f_i(f_y)^2]
endsplit
\
beginsplit
k_4 &= hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3) \
 &= h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y) \
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32h(f_i+p_1hf_t+q_11hf_if_y)f_y \
 &qquad +q_33h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y \
 &qquad +q_21q_22h^2!f_i(f_y)^2]f_y \
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y+p_1q_32h^2!f_tf_y+
 q_11q_32h^2!f_i(f_y)^2 \
 &qquad +q_33hf_if_y+p_2q_33h^2!f_tf_y+q_21q_33h^2!f_i(f_y)^2+
 q_22q_33h^2!f_i(f_y)^2 \
 &qquad+q_22q_33p_1h^3!f_t(f_y)^2+q_11q_22q_33h^3!f_i(f_y)^3
endsplit
endalign

enddocument


enter image description here






share|improve this answer

























  • Can multline be another solution? P.S. Nice answer!

    – manooooh
    5 hours ago






  • 1





    +1. You may want to point out explicitly the role that setting the option tbtags plays here. :-)

    – Mico
    4 hours ago










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2 Answers
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2 Answers
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active

oldest

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active

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active

oldest

votes









7














In addition to inserting some line breaks by hand in the final two rows, you also need to fix some of the notation by adding curly braces as needed in the terms q_11, q_21, q_22, etc. (And _k1 should be k_1, right?) When the parenthetic structures are nested, it helps readers if square brackets and curly braces are used in addition to round parentheses, to help detect the orders of the parentheses.



And you most definitely should not be using the badly deprecated eqnarray environment. Use the align environment, which is provided by the amsmath package, instead.



enter image description here



documentclassarticle
usepackageamsmath % for 'align' environment and 'notag' macro

begindocument
beginalign 
 k_1 &= hf(t_i, y_i)=hf_i labelk1_RK_4\
 k_2 &= hf(t_i+p_1h, y_i+q_11k_1) notag\
 &= h(f_i+p_1hf_t+q_11k_1f_y) notag\
 &= h(f_i+p_1hf_t+q_11hf_if_y)\ 
 k_3 &= hf(t_i+p_2h, y_i+q_21k_1+q_22k_2) notag\
 &= h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y) notag\
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22h(f_i+p_1hf_t+q_11hf_if_y)f_y] notag\ 
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+q_11q_22h^2!f_i(f_y)^2]\
 k_4 &= hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3) notag\
 &= h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y) notag\
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32h(f_i+p_1hf_t+q_11hf_if_y)f_y notag\
 &qquad +q_33h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y notag\
 &qquad +q_21q_22h^2!f_i(f_y)^2]f_y notag\ 
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y+p_1q_32h^2!f_tf_y+q_11q_32h^2!f_i(f_y)^2 notag\
 &qquad +q_33hf_if_y+p_2q_33h^2!f_tf_y+q_21q_33h^2!f_i(f_y)^2+q_22q_33h^2!f_i(f_y)^2 notag\
 &qquad+q_22q_33p_1h^3!f_t(f_y)^2+q_11q_22q_33h^3!f_i(f_y)^3
endalign
enddocument





share|improve this answer























  • I forgot to mention another adjustment I made: I inserted negative thinspace (!) in all instances of either h^2 or h^3 being followed by f. This avoids creating "visual holes" in the formulas.

    – Mico
    4 hours ago















7














In addition to inserting some line breaks by hand in the final two rows, you also need to fix some of the notation by adding curly braces as needed in the terms q_11, q_21, q_22, etc. (And _k1 should be k_1, right?) When the parenthetic structures are nested, it helps readers if square brackets and curly braces are used in addition to round parentheses, to help detect the orders of the parentheses.



And you most definitely should not be using the badly deprecated eqnarray environment. Use the align environment, which is provided by the amsmath package, instead.



enter image description here



documentclassarticle
usepackageamsmath % for 'align' environment and 'notag' macro

begindocument
beginalign 
 k_1 &= hf(t_i, y_i)=hf_i labelk1_RK_4\
 k_2 &= hf(t_i+p_1h, y_i+q_11k_1) notag\
 &= h(f_i+p_1hf_t+q_11k_1f_y) notag\
 &= h(f_i+p_1hf_t+q_11hf_if_y)\ 
 k_3 &= hf(t_i+p_2h, y_i+q_21k_1+q_22k_2) notag\
 &= h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y) notag\
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22h(f_i+p_1hf_t+q_11hf_if_y)f_y] notag\ 
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+q_11q_22h^2!f_i(f_y)^2]\
 k_4 &= hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3) notag\
 &= h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y) notag\
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32h(f_i+p_1hf_t+q_11hf_if_y)f_y notag\
 &qquad +q_33h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y notag\
 &qquad +q_21q_22h^2!f_i(f_y)^2]f_y notag\ 
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y+p_1q_32h^2!f_tf_y+q_11q_32h^2!f_i(f_y)^2 notag\
 &qquad +q_33hf_if_y+p_2q_33h^2!f_tf_y+q_21q_33h^2!f_i(f_y)^2+q_22q_33h^2!f_i(f_y)^2 notag\
 &qquad+q_22q_33p_1h^3!f_t(f_y)^2+q_11q_22q_33h^3!f_i(f_y)^3
endalign
enddocument





share|improve this answer























  • I forgot to mention another adjustment I made: I inserted negative thinspace (!) in all instances of either h^2 or h^3 being followed by f. This avoids creating "visual holes" in the formulas.

    – Mico
    4 hours ago













7












7








7







In addition to inserting some line breaks by hand in the final two rows, you also need to fix some of the notation by adding curly braces as needed in the terms q_11, q_21, q_22, etc. (And _k1 should be k_1, right?) When the parenthetic structures are nested, it helps readers if square brackets and curly braces are used in addition to round parentheses, to help detect the orders of the parentheses.



And you most definitely should not be using the badly deprecated eqnarray environment. Use the align environment, which is provided by the amsmath package, instead.



enter image description here



documentclassarticle
usepackageamsmath % for 'align' environment and 'notag' macro

begindocument
beginalign 
 k_1 &= hf(t_i, y_i)=hf_i labelk1_RK_4\
 k_2 &= hf(t_i+p_1h, y_i+q_11k_1) notag\
 &= h(f_i+p_1hf_t+q_11k_1f_y) notag\
 &= h(f_i+p_1hf_t+q_11hf_if_y)\ 
 k_3 &= hf(t_i+p_2h, y_i+q_21k_1+q_22k_2) notag\
 &= h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y) notag\
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22h(f_i+p_1hf_t+q_11hf_if_y)f_y] notag\ 
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+q_11q_22h^2!f_i(f_y)^2]\
 k_4 &= hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3) notag\
 &= h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y) notag\
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32h(f_i+p_1hf_t+q_11hf_if_y)f_y notag\
 &qquad +q_33h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y notag\
 &qquad +q_21q_22h^2!f_i(f_y)^2]f_y notag\ 
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y+p_1q_32h^2!f_tf_y+q_11q_32h^2!f_i(f_y)^2 notag\
 &qquad +q_33hf_if_y+p_2q_33h^2!f_tf_y+q_21q_33h^2!f_i(f_y)^2+q_22q_33h^2!f_i(f_y)^2 notag\
 &qquad+q_22q_33p_1h^3!f_t(f_y)^2+q_11q_22q_33h^3!f_i(f_y)^3
endalign
enddocument





share|improve this answer













In addition to inserting some line breaks by hand in the final two rows, you also need to fix some of the notation by adding curly braces as needed in the terms q_11, q_21, q_22, etc. (And _k1 should be k_1, right?) When the parenthetic structures are nested, it helps readers if square brackets and curly braces are used in addition to round parentheses, to help detect the orders of the parentheses.



And you most definitely should not be using the badly deprecated eqnarray environment. Use the align environment, which is provided by the amsmath package, instead.



enter image description here



documentclassarticle
usepackageamsmath % for 'align' environment and 'notag' macro

begindocument
beginalign 
 k_1 &= hf(t_i, y_i)=hf_i labelk1_RK_4\
 k_2 &= hf(t_i+p_1h, y_i+q_11k_1) notag\
 &= h(f_i+p_1hf_t+q_11k_1f_y) notag\
 &= h(f_i+p_1hf_t+q_11hf_if_y)\ 
 k_3 &= hf(t_i+p_2h, y_i+q_21k_1+q_22k_2) notag\
 &= h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y) notag\
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22h(f_i+p_1hf_t+q_11hf_if_y)f_y] notag\ 
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+q_11q_22h^2!f_i(f_y)^2]\
 k_4 &= hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3) notag\
 &= h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y) notag\
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32h(f_i+p_1hf_t+q_11hf_if_y)f_y notag\
 &qquad +q_33h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y notag\
 &qquad +q_21q_22h^2!f_i(f_y)^2]f_y notag\ 
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y+p_1q_32h^2!f_tf_y+q_11q_32h^2!f_i(f_y)^2 notag\
 &qquad +q_33hf_if_y+p_2q_33h^2!f_tf_y+q_21q_33h^2!f_i(f_y)^2+q_22q_33h^2!f_i(f_y)^2 notag\
 &qquad+q_22q_33p_1h^3!f_t(f_y)^2+q_11q_22q_33h^3!f_i(f_y)^3
endalign
enddocument






share|improve this answer












share|improve this answer



share|improve this answer










answered 7 hours ago









MicoMico

283k31388775




283k31388775












  • I forgot to mention another adjustment I made: I inserted negative thinspace (!) in all instances of either h^2 or h^3 being followed by f. This avoids creating "visual holes" in the formulas.

    – Mico
    4 hours ago

















  • I forgot to mention another adjustment I made: I inserted negative thinspace (!) in all instances of either h^2 or h^3 being followed by f. This avoids creating "visual holes" in the formulas.

    – Mico
    4 hours ago
















I forgot to mention another adjustment I made: I inserted negative thinspace (!) in all instances of either h^2 or h^3 being followed by f. This avoids creating "visual holes" in the formulas.

– Mico
4 hours ago





I forgot to mention another adjustment I made: I inserted negative thinspace (!) in all instances of either h^2 or h^3 being followed by f. This avoids creating "visual holes" in the formulas.

– Mico
4 hours ago











5














Besides the standard advice of not using eqnarray for whatsoever reason, see eqnarray vs align, I'd recommend using split for this, so to divide each block into a single unit.



With the tbtags option, we ensure that the number attached to a split equation is added at the bottom (when equation numbers are on the right) or at the top.



documentclassarticle
usepackage[tbtags]amsmath % for math

begindocument
beginalign 
k_1 &= hf(t_i, y_i)=hf_i labelk1_RK_4
\
beginsplit
k_2 &= hf(t_i+p_1h, y_i+q_11k_1) \
 &= h(f_i+p_1hf_t+q_11k_1f_y) \
 &= h(f_i+p_1hf_t+q_11hf_if_y)
endsplit
\
beginsplit
k_3 &= hf(t_i+p_2h, y_i+q_21k_1+q_22k_2) \
 &= h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y) \
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22h(f_i+p_1hf_t+q_11hf_if_y)f_y] \ 
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+
 q_11q_22h^2!f_i(f_y)^2]
endsplit
\
beginsplit
k_4 &= hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3) \
 &= h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y) \
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32h(f_i+p_1hf_t+q_11hf_if_y)f_y \
 &qquad +q_33h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y \
 &qquad +q_21q_22h^2!f_i(f_y)^2]f_y \
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y+p_1q_32h^2!f_tf_y+
 q_11q_32h^2!f_i(f_y)^2 \
 &qquad +q_33hf_if_y+p_2q_33h^2!f_tf_y+q_21q_33h^2!f_i(f_y)^2+
 q_22q_33h^2!f_i(f_y)^2 \
 &qquad+q_22q_33p_1h^3!f_t(f_y)^2+q_11q_22q_33h^3!f_i(f_y)^3
endsplit
endalign

enddocument


enter image description here






share|improve this answer

























  • Can multline be another solution? P.S. Nice answer!

    – manooooh
    5 hours ago






  • 1





    +1. You may want to point out explicitly the role that setting the option tbtags plays here. :-)

    – Mico
    4 hours ago















5














Besides the standard advice of not using eqnarray for whatsoever reason, see eqnarray vs align, I'd recommend using split for this, so to divide each block into a single unit.



With the tbtags option, we ensure that the number attached to a split equation is added at the bottom (when equation numbers are on the right) or at the top.



documentclassarticle
usepackage[tbtags]amsmath % for math

begindocument
beginalign 
k_1 &= hf(t_i, y_i)=hf_i labelk1_RK_4
\
beginsplit
k_2 &= hf(t_i+p_1h, y_i+q_11k_1) \
 &= h(f_i+p_1hf_t+q_11k_1f_y) \
 &= h(f_i+p_1hf_t+q_11hf_if_y)
endsplit
\
beginsplit
k_3 &= hf(t_i+p_2h, y_i+q_21k_1+q_22k_2) \
 &= h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y) \
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22h(f_i+p_1hf_t+q_11hf_if_y)f_y] \ 
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+
 q_11q_22h^2!f_i(f_y)^2]
endsplit
\
beginsplit
k_4 &= hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3) \
 &= h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y) \
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32h(f_i+p_1hf_t+q_11hf_if_y)f_y \
 &qquad +q_33h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y \
 &qquad +q_21q_22h^2!f_i(f_y)^2]f_y \
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y+p_1q_32h^2!f_tf_y+
 q_11q_32h^2!f_i(f_y)^2 \
 &qquad +q_33hf_if_y+p_2q_33h^2!f_tf_y+q_21q_33h^2!f_i(f_y)^2+
 q_22q_33h^2!f_i(f_y)^2 \
 &qquad+q_22q_33p_1h^3!f_t(f_y)^2+q_11q_22q_33h^3!f_i(f_y)^3
endsplit
endalign

enddocument


enter image description here






share|improve this answer

























  • Can multline be another solution? P.S. Nice answer!

    – manooooh
    5 hours ago






  • 1





    +1. You may want to point out explicitly the role that setting the option tbtags plays here. :-)

    – Mico
    4 hours ago













5












5








5







Besides the standard advice of not using eqnarray for whatsoever reason, see eqnarray vs align, I'd recommend using split for this, so to divide each block into a single unit.



With the tbtags option, we ensure that the number attached to a split equation is added at the bottom (when equation numbers are on the right) or at the top.



documentclassarticle
usepackage[tbtags]amsmath % for math

begindocument
beginalign 
k_1 &= hf(t_i, y_i)=hf_i labelk1_RK_4
\
beginsplit
k_2 &= hf(t_i+p_1h, y_i+q_11k_1) \
 &= h(f_i+p_1hf_t+q_11k_1f_y) \
 &= h(f_i+p_1hf_t+q_11hf_if_y)
endsplit
\
beginsplit
k_3 &= hf(t_i+p_2h, y_i+q_21k_1+q_22k_2) \
 &= h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y) \
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22h(f_i+p_1hf_t+q_11hf_if_y)f_y] \ 
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+
 q_11q_22h^2!f_i(f_y)^2]
endsplit
\
beginsplit
k_4 &= hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3) \
 &= h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y) \
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32h(f_i+p_1hf_t+q_11hf_if_y)f_y \
 &qquad +q_33h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y \
 &qquad +q_21q_22h^2!f_i(f_y)^2]f_y \
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y+p_1q_32h^2!f_tf_y+
 q_11q_32h^2!f_i(f_y)^2 \
 &qquad +q_33hf_if_y+p_2q_33h^2!f_tf_y+q_21q_33h^2!f_i(f_y)^2+
 q_22q_33h^2!f_i(f_y)^2 \
 &qquad+q_22q_33p_1h^3!f_t(f_y)^2+q_11q_22q_33h^3!f_i(f_y)^3
endsplit
endalign

enddocument


enter image description here






share|improve this answer















Besides the standard advice of not using eqnarray for whatsoever reason, see eqnarray vs align, I'd recommend using split for this, so to divide each block into a single unit.



With the tbtags option, we ensure that the number attached to a split equation is added at the bottom (when equation numbers are on the right) or at the top.



documentclassarticle
usepackage[tbtags]amsmath % for math

begindocument
beginalign 
k_1 &= hf(t_i, y_i)=hf_i labelk1_RK_4
\
beginsplit
k_2 &= hf(t_i+p_1h, y_i+q_11k_1) \
 &= h(f_i+p_1hf_t+q_11k_1f_y) \
 &= h(f_i+p_1hf_t+q_11hf_if_y)
endsplit
\
beginsplit
k_3 &= hf(t_i+p_2h, y_i+q_21k_1+q_22k_2) \
 &= h(f_i+p_2hf_t+q_21k_1f_y+q_22k_2f_y) \
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22h(f_i+p_1hf_t+q_11hf_if_y)f_y] \ 
 &= h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y+
 q_11q_22h^2!f_i(f_y)^2]
endsplit
\
beginsplit
k_4 &= hf(t_i+p_3h, y_i+q_31k_1+q_32k_2+q_33k_3) \
 &= h(f_i+p_3hf_t+q_31k_1f_y+q_32k_2f_y+q_33k_3f_y) \
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32h(f_i+p_1hf_t+q_11hf_if_y)f_y \
 &qquad +q_33h[f_i+p_2hf_t+q_21hf_if_y+q_22hf_if_y+q_22h^2p_1f_tf_y \
 &qquad +q_21q_22h^2!f_i(f_y)^2]f_y \
 &= hf_i+p_3hf_t+q_31hf_if_y+q_32hf_if_y+p_1q_32h^2!f_tf_y+
 q_11q_32h^2!f_i(f_y)^2 \
 &qquad +q_33hf_if_y+p_2q_33h^2!f_tf_y+q_21q_33h^2!f_i(f_y)^2+
 q_22q_33h^2!f_i(f_y)^2 \
 &qquad+q_22q_33p_1h^3!f_t(f_y)^2+q_11q_22q_33h^3!f_i(f_y)^3
endsplit
endalign

enddocument


enter image description here







share|improve this answer














share|improve this answer



share|improve this answer








edited 4 hours ago

























answered 5 hours ago









egregegreg

726k8819223230




726k8819223230












  • Can multline be another solution? P.S. Nice answer!

    – manooooh
    5 hours ago






  • 1





    +1. You may want to point out explicitly the role that setting the option tbtags plays here. :-)

    – Mico
    4 hours ago

















  • Can multline be another solution? P.S. Nice answer!

    – manooooh
    5 hours ago






  • 1





    +1. You may want to point out explicitly the role that setting the option tbtags plays here. :-)

    – Mico
    4 hours ago
















Can multline be another solution? P.S. Nice answer!

– manooooh
5 hours ago





Can multline be another solution? P.S. Nice answer!

– manooooh
5 hours ago




1




1





+1. You may want to point out explicitly the role that setting the option tbtags plays here. :-)

– Mico
4 hours ago





+1. You may want to point out explicitly the role that setting the option tbtags plays here. :-)

– Mico
4 hours ago










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