The source voltage is v1(t) = sin(2000t). we wish to obtain the current through the 250 ω resistor (i250) and the 500 ω resistor (i500). there is no initial energy stored in the circuit and the source turns on at time t = 0. (a) find the state equation for this circuit. (b) find the output equation. (c) using your state and output equations, use matlab to plot the resistor currents for 0 ≤ t ≤ 4 ms. use a sufficient number of samples so that the plot appears smooth.