How can I equate coefficients of the like powers from rhs and lhs in an equation to obtain a system of ODEs?
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Hi everyone, I have a long equation EQ12.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/333057/image.png)
Is there a way of getting this from Symbolic Math Toolbox? I have tried to play around with coeffs but no luck. Thank you in advance for any help. Cheers.
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Walter Roberson
2020년 7월 17일
See coeffs() . You might want to use the 'all' option to make it easier to match up.
But have you considered using odeFunction ? I recommend following the workflow given in the first example there.
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Devineni Aslesha
2020년 7월 20일
Hi Silvia,
You can use the coeffs function to equate like powers of t and obtain the corresponding ODEs.
eqn = lhs(EQ12)-rhs(EQ12) == 0
c = coeffs(eqn,t)
Here, c is a 1*6 symbol in which c(1,1) = "- diff(F[0](z), z, z) + diff(F[0](z), z) + F[0](z)^2" which is the coefficient of t. Similarly, you have coefficients for other powers of t. Now, you can use the equation c(1,1) == 0 for further calculations.
For more information, refer the following links
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