!! Urgent Help !! Verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation.

y''-4y'+4y=2e^(2x)+4x-12 ;

y=c1e^2x + c2xe^2x + x^2e^2x + x - 2

Question

!! Urgent Help !! Verify that the given two-parameter family of functions is the general solution of the nonhomogeneous differential equation.

y''-4y'+4y=2e^(2x)+4x-12 ; 

y=c1e^2x + c2xe^2x + x^2e^2x + x - 2

dumbcow · Answer

looks good use wolfram to check answers http://www.wolframalpha.com/input/?i=y%27%27-4y%27%2B4y%3D2e%5E%282x%29%2B4x-12+

anonymous · Answer

I need help with the particular equation. I just need to verify