Mesh Currents with Differential Equations

[madbo517]

I've attached a picture of the problem statement, figure, and of my work so far.

I'm trying to use mesh currents and then differentiate it, but I really have no idea if I'm on the right track.

Also, I don't understand why i1 isn't just V/R (The physical current is the mesh current for R1, right?).

As you can tell, I'm pretty lost.
Would appreciate any help offered :)

 

[Ackbach]

Because the problem only asks for what's happening at $t=0$ and $t=\infty$, you won't actually have to solve any DE's for this problem. Remember what a charged and discharged capacitor look like, right? So you can use that knowledge to determine the answers to the questions asked.