You can approach this a couple different ways, the simplest is probably using Laplace Transforms..
But first, is that source with the 'arrow' a fixed DC current source or is it an AC current source or AC voltage source?
As MrAl said, you need to tell us what kind of source that is.
Even more so, since this is the Homework Help forum (and not the Homework Done For You forum), you need to show YOUR best attempt to date to solve YOUR homework problem, even if it's just a start. Keep in mind that we don't know what techniques you know in general nor what techniques are fair game for this particular problem. We also need to see your approach so that we can go off of that and see what you are doing right and what you are doing wrong and make suggestions on how you might proceed.