Please help with b,c,d. This is what I have so far.

Problem 4: Consider the differential equation y + by + 5y =36(t -4) with initial conditions y0) =5 and y(0) =2. a) Take the Laplace transform of the differential equation and solve for Y'(s). Use partial fraction expansion (PFE) to simplify your answer. Now, substitute the initial conditions y(0)=S and y'(0)=2: (+6+5761-5+28+2- 5r+18 5 + 28 A Multiply both sides by (s+ 1)(s+6) to clear the fractions, 65+28=A(5+5)+B(5+1) 65+28=6(4+8)+54+8 A=6.76 8=-0.75 Putting the given values we get, My -375 -175 13 bj Find the solution of the differential equation by computing y() = [Y(s)]. W(1) =5.75-0. 750-"+0.750(1 - 4) (pitt _p-sitt c) Use MATLAB to plot your solution for time ( = 0 to / = 10. Solution:c) Use MATLAB to plot your solution for time ( = () to / = 10. Solution: dj Use the MATLAB dsolve() function to solve the system of equations and plot your solution on a new figure. The result provided by dsolve() and your solution from above should match. Solution: Insect Your MATLAB code and plot hasa- ]