Behaviour of any first-order circuit can be described by a first-order ordinary differential equation (often called the state equation) of the form : dx/dt + αx = βy(t); x(0) = x0 where x is the state variable (usually the voltage across a capacitor or the current across an inductor), y(t) is a voltage or a current source, and the coefficients α, β are constants, depending on circuit elements. Assuming zero initial conditions in the circuit shown below: 1. Derive symbolic expressions for the coefficients α and β in the state equation. 2. If vs(t) = 35·u(t) V, calculate (numerically) the value of the inductor current x at t = 27 µs. I understand how to derive the expression for a simple RC dv/dt + v/RC = Vu(t)/dt which is the source which is just kcl from the node above the capacitor but for this circuit i have attached im a bit confuse as to where i should start? should i be zeroing sources? assuming the circuit is in steady state? mesh nodal thevenins nortorns ? any help will be appreciated.