2. In MATLAB, write a code to solve the differential equation (for now you can set n = 1000). 3. The exact solution can be found as follows: R and wo 2L 1 VLC - w and s2 = -- = s1=- + A = 4. Find the following: b. c. d. L(s1 s2) Lexact (t) = A exp(s1 t) A exp(s2 t) e. ( a. Voltage across the inductor v (t). [Hint: how is i related to vL?] b. Instantaneous power PR (t) dissipated in the resistor. w 5. Visualizations and plots: a. Plot the numerically solved i vs t for n = 100. Also plot the exact solution in the Let/n? same plot. What is the amount of error En Plot the numerically solved v vs t for n = 100. Plot the numerically solved PR vs t for n = 100. Also plot the exact solution in the same plot. Repeat a, b, c for n = 200, 500, 1000, 5000. [n - 5000 may take couple of minutes to run]. Comment on the accuracy of the solution for different n. Does the accuracy improve with n? Why? 6. Find and plot En vs n for n = [75:25:1000 2000 3500 5000]. (You may need to write another code with a loop for n). Comment on the accuracy/error.