10mA
10kΩ
10µH
50µH
5mA
1kΩ

ic(0-) = 10 mA ; vc(0+) = 10 V
ic(∞) = 5 mA ; vc(∞) = 0 V

vc(t) = 0 + 10e-t [V] ; t ≥ 0
time for vc to reach 0V: never, but 300ms is close

ic(t) = 10 + 5e-t [V] ; t ≥ 0
time for ic to reach 0A: never