Design the circuit shown in Figure DP 9-1 so that vc t 1 4 A1 A2t e2t V for t > 0

Chapter 9, Problem DP9-2

(choose chapter or problem)

Design the circuit shown in Figure DP 9-1 so that

\(v_{\mathrm{c}}(t)=\frac{1}{4}+\left(A_1+A_2 t\right) e^{-2 t} \mathrm{~V} \quad \text { for } t>0\)

Determine the values of the unspecified constants \(A_1\) and \(A_2\).

Hint: The circuit is critically damped, and the natural frequencies are both 2 rad / sec.

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