1. The problem statement, all variables and given/known data Hi, Just wondering if anyone knows how to solve the following as I am not sure where to start at all: y''' + 8y = xsin(2x) Any help would be great. 2. Relevant equations 3. The attempt at a solution I'm thinking solving the homogeneous DE y'''+8y = 0 and then as far as I can see a possible solution maybe of the form yp=Axsin(2x)+Bxcos(2x)+Csin(2x)+Dcos(2x) ?