# Thread: Method of Undetermined coefficients

1. ## Method of Undetermined coefficients

Hey guys, I'm having a little trouble with this problem. I'm not entirely sure how the particular solution should look so I can't really solve the problem

Here it is:

Find a particular solution y_p of the differential equation 5y''+8y'+5y=sin^2(x) using the method of undetermined coefficients

Any help would be appreciated

2. Originally Posted by Deeds025
Hey guys, I'm having a little trouble with this problem. I'm not entirely sure how the particular solution should look so I can't really solve the problem

Here it is:

Find a particular solution y_p of the differential equation 5y''+8y'+5y=sin^2(x) using the method of undetermined coefficients

Any help would be appreciated
Note (from the standard double angle formula) that $\sin^2 x = \frac{1}{2} - \frac{1}{2} \cos(2x)$.