1. The problem statement, all variables and given/known data Find the solution for y"+2y'+5y=(e^x)sinx 2. Relevant equations 3. The attempt at a solution So far I think I've gotten the solution from the characteristic equation, but I'm having trouble with the particular solution. For the characteristic equation solution: y"+2y'+5y=0 r^2+2r+5=0 Using the quadratic formula r= -1(+/-)2i So y=(e^-x)((C1)cos(2x)+(C2)sin(2x) For the particular solution I think I'm assuming correctly that y=A(e^x)sin(2x)+B(e^x)cos(2x), or am I not catching a term that can be combined with the complementary solution? Or am I just using the wrong equation all together?