Question: Please show all work with Matlab codes Solve the following differential equations and find (a) Total Responses: and then identify (b) Free response, (c) Forced

Please show all work with Matlab codes

Solve the following differential equations and find (a) Total Responses: and then identify (b) Free response, (c) Forced Response: (d) Steady state response, and (c) Transient response. (f) Plot the results obtained in (a) through (e) for t = 0: 5 s using Matlab. x + 7x + 10x = 20 x(0) = 5, x(0) = 3 x + 14x + 85x = 170 x(0) = 0, x(0) = 0

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