2V
1kΩ
2µF
0.5µF
2.5V
2kΩ

vc(0-) = 2 V ; ic(0+) = 1 mA
vc(∞) = -2.5 V ; ic(∞) = 0 mA
τ = 0.8 ms

vc(t) = -2.5 + 4.5e-1250t [V] ; t ≥ 0
time for vc to reach 0V: 0.47ms

ic(t) = 2 + 1e-1250t [V] ; t ≥ 0
time for ic to reach 0A: never, but 4ms is close