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Simulate and Infer the first order system C(t) analytical expression in matlab for the given input a) Unit step input b) Ramp input c) Parabolic

Simulate and Infer the first order system C(t) analytical expression in matlab for the given input 

a) Unit step input 

b) Ramp input 

c) Parabolic input. 

Also, derive the analytical expression for the system time response c(t) for the same.

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