HW #1, problem 7.15

for problem 7.15 for HW #1.

When I replace the switches by the model of 7.50 c. I see that for Gvg=vout/vg, then the d^ sources are set to zero. I tried to solve the resulting schematic by doing a mesh current analyses (i1, and i2). However, I end up with a lot more math than I would expect.

Am I missing something? Is there some easier approach or some trick? *If* it was a DC-steady state, I see that the voltage across the inductor would be zero, and the solution is rather simple.