1. The problem statement, all variables and given/known data Find the general solution f(t) of the differential equation: f''(t) − f'(t) − 12f(t) = 36π . How many free parameters enter the solution, and why? 2. Relevant equations f = fH + fP where fH is the homogeneous solution and fP is the particular solution. 3. The attempt at a solution So I've solved this equation to get: f(t) = C1e4t + C2e-3t which I have checked is right. My question is how may free parameters enter the solution? I'm not sure what this means - is it asking how many constants there are and the answer would therefore be 2? But I don't know why. Please help! Thank you.