Hello, I had a question about the method of undetermined coefficients for solving ODE's. I understand it is only useful for certain non-homogeneous functions, and those dictate specific guesses, but what if I had a sum or product of two valid functions, is the guess simply a sum or product of their guesses?(adsbygoogle = window.adsbygoogle || []).push({});

EX:

Guess for 3e^-2t = Ae^-2t

Then would the guess for 3e^-2t(sin(t)) be (Ae^-2t)(Asin(t)+Bsin(t))?

If this is not valid or too complicated, would variation of parameters be a better method for these types of equations?

Thanks

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# General Question about Undetermined Coefficients

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