Find current in transient analysis

I have this problem, finding IL(t), when K2 open at t = 1ms.

+> at t <0, all k1 and k2 closed, I have this circuit and found iL = 0.18A and Uc=8.31

+, at t= 0+, k1 open we have the circuit below

then I take inverse laplace transform of IL(s), I get: IL(t) and Uc(t) when K1 just open as below



+>, when k2 open at t = 10^-3 s, we have the value of IL(t) and Uc(t) at t = 10^-3ms as below, IL = 0.18A, and Uc= 0.0008/s and we have the circuit


From this circuit, we have IL(s) as the below picture

Find inverse LaPlace transform of this We get final iL(t) at t = 10-3s