Question

Can Someone please help!
Find a particular solution yp of the differential equation

6y''+6y'+8y=(cos(x)^2)
using the Method of Undetermined Coefficients. Primes denote derivatives with respect to x.

Answer 1

what is on the right side is it

Answer 2

have you found the homogenous solution already?

Answer 3

its the first one

Answer 4

I know the complimentary solution would be y_c_=c1e^(-0.5-1.04083i)+c2xe^(-0.5+1.040831i)

Answer 5

after that I am unsure of what to do

Answer 6

i dont know how to solve ...=cos^2(x) by the Method of Undetermined Coefficients

Answer 7

Thanks anyway though!