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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Silvia Ceccacci
Silvia Ceccacci 2020-7-17
评论： Silvia Ceccacci 2020-7-22
Hi everyone, I have a long equation EQ12.
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
Walter Roberson 2020-7-17
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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回答（1 个）

Devineni Aslesha
Devineni Aslesha 2020-7-20
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
https://www.mathworks.com/help/symbolic/coeffs.html
  1 个评论
Silvia Ceccacci
Silvia Ceccacci 2020-7-22
Hi Aslesha,
I have tried wht you suggested, but it doesn't seem to tidy up the equations.
EQ12 = collect(EQ11,t);
EQ13 = lhs(EQ12)-rhs(EQ12) == 0;
coef = coeffs(EQ13,t);
coef_t = coef(1,1) == 0
So basically it has put all the term on the lhs but not given me the system of ODEs by equating the powers of t. Thank you for your help. Silvia

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