We're asked to...

a)"Determine the differential equation that relates the input current x(t) to output current y(t)."

b) Find the characteristic equation for this circuit and express the roots of the characteristic equation in terms of L1, L2, and R.

c) Determine the zero-input response given initial inductor currents of 1 amp each. That is, find yo(t) given iL1(0) = iL2(0) = 1 A.

This is the only problem on my homework that I cannot figure out... I just need some help getting a starting point. Thanks!