Am I doing this right? (s domain analysis)

[SeanHatch]

The switch in the following circuit has been close for a long time and is opened at t = 0. Transform the circuit into the s doman and solve for Isubl(s) and Isubl(t) in symbolic form.

I've only found Isubl(s) so far, and I want to see how I'm doing before I convert it back to the time domain. I hope my work is clear; I used the t < 0 circuit to find out the inductors initial current, then used superposition to find the final current.

How am I doing? Thanks alot.

 

[Russlk]

I had a more elegant reply but it took forever to upload, so: when dividing fractions, invert and multiply.