Q$-4)$

The switch at the below circuit closes at time $t=0$ s connecting $10$ V DC supply to the circuit. Find out the transient voltage equation exactly corresponding to the resistive network shown for the capacitor voltage $Vc(t)$ and plot $Vc(t)$ with time. Note: please be precise with the time constant because the proper resistor number in your equations is the target of this question $(15$ pts $).$