1. The problem statement, all variables and given/known data Find both a particular solution yp (via the method of educated guess) and a general solution y. y(2)-6y(1)=25sin(6x) 2. Relevant equations 3. The attempt at a solution This was my guess: yp(x)=Asin(6x) I then took derivatives, plugged them in, and simplified to get this: -27Asin(6x)-36Acos(6x)=25sin(6x) I'm stuck at this point! How do I solve for A? Or did I just make a bad guess for the particular solution?