(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

obtain the general solution y(x) of

y''-2y'+y=e^(2x)/(e^x+1)^2

2. Relevant equations

variation of parameters

3. The attempt at a solution

I have obtained the continuous equation.

I tried two methods of variation of parameters, but both of them got me stuck.

1. using the wronskian method. However, this method gave me an answer of 0.

2. Using the method involving setting a'(x) and b'(x) to 0- however, this method doesn't work if the complimentary solution involves a multiple of x (b'(x)xe^x).

This one seems to be more complicated than a simple constant of coefficients- wolfram got me a straightforward answer, however. Any help will be appreciated. TIA!

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Help with finding particular solution of a 2nd order linear ode

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