2.5mA
5kΩ
50µH
5µH
-2V
10kΩ

ic(0-) = -2.5 mA ; vc(0+) = -25 V
ic(∞) = -0.2 mA ; vc(∞) = 0 V

vc(t) = 0 - 25e-t [V] ; t ≥ 0
time for vc to reach 0V: never, but 27.5ms is close

ic(t) = -25 - 2.3e-t [V] ; t ≥ 0
time for ic to reach 0A: never