*7.7. Assame that the circuit shown in Figure Po.1 contains no stored energy forI<Ü andhat the input is the unit step function. The input-output differential equation. found inPlem 6.1.is \left.\frac{3}{4}

e_{0}+\frac{1}{2} \varsigma_{0}=\frac{1}{2} \frac{d i}{d t}+i t t\right) Verify the differential equation and determine the time constant. Find and sketch e versus t for all t>0 when (t) is the unit step function. Notice that e(t) has a discontinuity at t = 0. Check the steady-stare response by replacing the capacitor by an open circuit.