Method of undertermined Coefficients? need help!

[lottalivin2do]

Find a particular solution yp of the differential equation

9y+5y+3y=sin2(x)
using the Method of Undetermined Coefficients. Primes denote derivatives with respect to x.
yp(x)=

I can't figure out what complementary function to use for Sin(x)^2?

 

[galactus]

Try using the identity \(\displaystyle sin^{2}(x)=\frac{1}{2}-\frac{1}{2}cos(2x)\)

I see no y'. What you have is merely \(\displaystyle 17y=sin^{2}(x)\)

A good idea is to use the Preview before you Submit a post to make sure you have it correct.

Is that \(\displaystyle sin^{2}(x) \;\ or \;\ sin(2x)\)?.

I assume it is \(\displaystyle sin^{2}(x)\) from your last line, but the problem statement has sin2x.

Fix your problem statement and someone can probably point you in the right direction.

\(\displaystyle 9y''+5y'+3y=sin^{2}(x)\)?.