Consider the LR circuit shown below with input vs (t) and output v, (t). Vs(t) L 0000 R (a) Determine the differential equation that relates the output v, (t) to the input vs (t). v,(t) (b) Draw a labeled block diagram, using integrators, adders and multiplication by constants, that computes v, (t) from v (t). Include the initial condition i(0) (current through L at t = 0) in your block diagram.