Solve the following differential equations and find Total Responses by:
(a) Laplace Transform Method and hand calculation, use of MATLAB is not permitted. Once the solution is obtained, plot them for t = 0:5 s using any software. (b) Simulink for t = 0:5 s
1. 5x¨ +20x?+20x=28t, x(0)=5,x?(0)=8