1. An alternate solution technique
RC Networks
An alternate solution technique

2. Alternate Equation
Independent of whether the source in the circuit turns on or off at t = to.

4. Example

5. Because a capacitor acts like an open circuit under steady state conditions
t ≤ to
t >> to
vc initial = vin = 3 V
vc final = vin = 2 V
The current flowing through the resistor in both cases is zero. Therefore, the voltage across the capacitor, vc = vin , from KVL (sum of voltages around a loop is equal to zero)

6. Solution to vC(t)