Using Laplace to solve circuit analysis

[Cocoleia]

Homework Statement

The Attempt at a Solution

As you can see, the answer is given in the problem. I have the 0.8t par right but somewhere along the way I messed up. I'm not really to sure about how to solve these types of problems using Laplace. Is there a general procedure that I should be following that I am not?

 

[gneill]

The Laplace transform of a DC source is V/s. Essentially it's modeled as a step function, "turning on" at time t = 0. So your 12 V source should be 12/s.

The voltage that represents the stored energy due to the initial current (your 30 V supply) needs to have its polarity reflect the actual direction of that initial current.

Otherwise you seem to be doing okay.