Use undetermined coefficients to find the particular solution to

y+4y5y=3sin(3x)\displaystyle {y}{''}+{4}{y}'-{5}{y}={3}{\sin{{\left({3}{x}\right)}}}

Yp(x)\displaystyle {Y}_{{p}}{\left({x}\right)} =  

Now, write the general solution, using C and D for constants.

Y(x)\displaystyle {Y}{\left({x}\right)} =