1. The problem statement, all variables and given/known data I am working on this question from the textbook: 2. Relevant equations 3. The attempt at a solution I would use Cramer's method and solve for i2, then get the characteristic equation and find the roots. from there I would attempt to find the natural response. I am not sure how I would find the forced response. I am not even sure that I am on the right track. I had a similar problem on an assignment and they solved using the damping coefficient alpha and resonant frequency omega. I do not know how to do that in this case if it is possible. I didn't want to do all of the calculations and waste my time if I am completely on the wrong track! Any explanations are greatly appreciated.