Question

Can someone help me with a second order non-homogeneous differential equation?

Answer 1

I want to find the particular solution for the differential equation:\[y \prime \prime+16y=4x*((e^2)^x)\]
I need help in determining the coefficients. I found a similar example, and was wondering if I have the right idea so far:\[y _{p}(x)=(Ax+B)((e^2)^x)\]e is raised to the 2x power in both equations, couldn't figure out how to write that...