1. The problem statement, all variables and given/known data determine the particular solution for the differential equation 2x^double prime+x=3t^2 2. Relevant equations 3. The attempt at a solution since F(t)=3t^2 I used At^2+Bt+C and the first derivative is 2A+B plugging back in I get At^2+(4A+B)t+(2B+C)=3t^2 is this correct? how do I solve for the variables?