Looks like separation of variables would work. Let . When I plug that in I get:
You can go from there right?
Ok, thanks for that correction. However maybe this is not the way to go since once you solve the ODEs I'm not sure how you would then go on to form some combination of them to satisfy the initial and boundary values like is done with the heat or wave equation not containing the single partials. Maybe Fourier Transforms are the way to go since one of the bounds is infinite. Not sure. Sorry. I'm rusty with this.