Second order non homogeneous ODE - particular solution trouble?

A

AlwaysLearning

New member
Hi,

I am solving the DE;

y'' + 3y' + 2y = 12x^2

I have found the homogeneous solution (Yh)
to be

Yh = C1*exp^(-2.0x) + C2*exp^-x)

Where C1 and C2 are coefficients, and exp meaning exponential function.

I know Y = Yh + Yp. ia the final general solution I am needing to find.

I am stuck on finding the particular solution(Yp)......help would be appreciated :)
 
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