Consider the differential equation
y'' + 4y' + 3y = 5e^x
(where primes indicate derivatives with respect to x).
Find a particular solution to the differential equation having the form
Yp = U1y1 + U2y2
using the method of Variation of Parameters.
(Note that this asks for U1 and U2, not U1 and U2- Y1 and Y2).
Then use your solution to find a solution to the differential equation that satisfies the initial conditions y(0) = 0, y'(0) = 0.