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## Homework Statement

Find a particular solution yp of the differential equation

2y''+9y'+2y=(cos(x))^2

## Homework Equations

## The Attempt at a Solution

I'm not really sure where to start? I solve for the homogeneous solution and get C1e^ -4.26556+C2e^-.2344355629=0. I'm just not sure where to go from there. Should I do

y(x)=(Acos(x)+Bsin(x))^2 since it's just cos (x)*cos(x) or is not that right approach?