Please give clear steps, thanks a lot in advance ! :) For each of the circuits b

Question

Please give clear steps, thanks a lot in advance ! :)

For each of the circuits below, find (i) the zero-input response (due only to the initial condition(s)), (ii) the zero-state response (due only to the input when the ICs are zero), and (iii) the complete response. Find vR(t), given that vin(t) = 3te-2tu(t) and Vc(0-) = -12 V (i.e., the top of the capacitor is initially 12 V lower potential than the bottom). Find Ic(t) for the circuit below, given thatIin(s) = 6/s2+2s andVc(0-) = 18V (i.e., the top of the capacitor is initially 18 V higher potential than the bottom).

Explanation / Answer

the ciruit can be solved by converting it to laplace domainapplying kcl in the above ckt we get(Vin(s) -V(s))/40 = V-Vc(0-)/s/1/Cs + Vr(s)/20solving V(t) = 12e^(-2t/3)-30e^(-2t)+-3t/4e^(-2t)ZIR,V(t) -12e^(-2t/2 )

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