So, that's our overall equation for iL of t.

Now, let's see, if it makes sense.

Let's take the two extreme conditions.

First of all, t is equal to 0 minus, a long time before,

when the circuit's in steady state before the switch is thrown.

And so for t is equal to 0 minus, we know the current is going to be iL,

it's going to be V sub s divided by R1 plus R2.

We also know that the inductor has the property that the current

cannot change instantaneously through it.

So as soon as the switch is thrown and

it changes from a open state to a closed state,

the current through the inductor for that instant is going to remain the same.

And then it will work its way toward its final value of V sub s divided by R2.

So a t is equal to 0,

our current through the inductor should be V sub s divided R1 plus R2.

Is this what we get with our equation that we have derived?