Complete the following problems. 1. For the following ODE with zero initial conditions 4x (t) + 40x (t) + 84x(t) = 20u(t) a. Calculate the response using the Laplace transform method. b. Use the appropriate function in MATLAB to solve for the response. Type "help control" at the Matlab prompt, click on "Analysis", and look at the functions listed under "Time-domain analysis". Use the "tf" command to create a transfer function object. c. Verify your answer by plotting the results from both methods. Plot the calculated values first using a solid green line with dots at data points. Then plot the Matlab results using a solid red line. Use the time vector t = 0:0.05: 5 for both.