Consider the differential equation:
Find a particular solution if f(x) = 32xe^(-x)
I already did the general solution when f(x)=0 and that is Ae^(-5x) + Bxe^(-5x)
The Attempt at a Solution
I tried yp=axe^(-x) and got a= 4x+2 which is wrong
The answer is (2x-1)e^(-x)
does anyone know what particular solution i can try in order to get the answer?