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Doing a system dynamics problem I have found a transfer function to be 1/(2s+4). Can you...

Doing a system dynamics problem I have found a transfer function to be 1/(2s+4). Can you show me how to get the transient, steady state as well as the homogenous, particular solutions? Each pair added should be equivalent but my answers are not agreeing. By taking inverse laplace I found v(t)= (1/2)(e^-2t) which I believe is the transient and Steady state = 0. Based on the initial condition v(0)=0,  v,homogenous should equal zero. The input is a unit impulse (A=1) so using the equation v,particular = (A/Tau)e^(-t/Tau) and knowing Tau = 0.5 I am getting 2e^-2t ....Do you see where I am going wrong? Thanks in advanced

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Answer #1

Trans for function is given as T = CW Tisz RUS) 25+ 4 174 Now taking inverse Laplace Transform we know that the Tea so we get

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