i'm a first year student in biology from Brussels and, as most students do, have passed a math exam today. I'm not quite sure whether my solution to one of the questions is correct. I was wondering if somebody could check/confirm my answer? thx a lot ^^
The 2nd degree linear non homogenic DE is as follows :
y'' - 2y' - 3y = e^(-x)
Using the method of variation of parameters to find the particular solution Yp I found this general solution
Y = Yc + Yp = c1 e^(3x) + c2 e^(-x) – e^(-x)* ((1 + 4x) / 16)
Is this correct? I'm also wondering if I should have used the method of undetermined coefficients instead?