(Solved): 3. In the circuit below: a) Determine the differential equation describing the voltage across the ...

3. In the circuit below: a) Determine the differential equation describing the voltage across the capacitor, \( v(t) \) b) Determine the transfer function relating the capacitor voltage, \( \mathrm{v}(\mathrm{t}) \), and the current source c) Determine \( v_{0}(t) \) for \( t>0 \) if \( i_{s}(t)=5 u(t) \mu A \) and the capacitor is initially uncharged at \( t=0 \).