I have this problem:
Use the method of undetermined coefficients to find one solution of
y'' + 2y' - 7y = [(-1t^2)+4t+7]e^(2t).
Find a specific solution, not a general one.
I'm having lots of trouble finding the coefficients.
I'm assuming I need to use [(At^2)+Bt+C]*e^(2t).
This however does not seem to work. Can anyone confirm this as the function I need to use for differentiation?