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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

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