Solve Using MATLab. Provide code and results.

Problem 4: Solve problem 37 on page 319 of Gilat's book using the MATLAB solver ode45. 37. An RL circuit includes a voltage source vs , a resistor R = 1.862, and an inductor L = 0.4 H, as shown in the figure. The differential equation that describes the response of the circuit is di R dt'L where iz is the current in the inductor. Initially i,- 0, and then at t -0 the voltage source is changed. Determine the response of the circuit for the fol- lowing three cases: (a) v, - 10sin(30nt) V for t20 (b) v, = 10e-t/0.06 sin(30?1)V for t20 Each case corresponds to a different differential equation. The solution is the current in the inductor as a function of time. Solve each case for 0sts 0.4 s. For each case plot v, and i, versus time (make two separate plots on the same page) Problem 4: Solve problem 37 on page 319 of Gilat's book using the MATLAB solver ode45. 37. An RL circuit includes a voltage source vs , a resistor R = 1.862, and an inductor L = 0.4 H, as shown in the figure. The differential equation that describes the response of the circuit is di R dt'L where iz is the current in the inductor. Initially i,- 0, and then at t -0 the voltage source is changed. Determine the response of the circuit for the fol- lowing three cases: (a) v, - 10sin(30nt) V for t20 (b) v, = 10e-t/0.06 sin(30?1)V for t20 Each case corresponds to a different differential equation. The solution is the current in the inductor as a function of time. Solve each case for 0sts 0.4 s. For each case plot v, and i, versus time (make two separate plots on the same page)