A system (circuit) is governed by the differential equation:
L \(L\frac{dx}{dt}-L\frac{dy}{dt}=Ry(t), t>0\)
a. Find all complex frequencies associated with the system (circuit). Your answer will be in terms of L and R.
b. Suppose L=25mH, but the resistance value,R, is not specified. Find a condition on R so that the circuit is strictly BIBO unstable (i.e., not even marginally stable). Hint: you might not be able to purchase such a resistor at Radio Shack