# Method of Undetermined coefficients

• October 23rd 2009, 03:12 PM
Deeds025
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 coefficientshttps://instruct.math.lsa.umich.edu/...144/char3A.png

Any help would be appreciated
• October 23rd 2009, 06:05 PM
mr fantastic
Quote:

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 coefficientshttps://instruct.math.lsa.umich.edu/...144/char3A.png

Any help would be appreciated

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