Solving a DE...need help!

Hey.

My problem is , where .

I am having a hard time getting y(t).

At first glance, this looks like a homogenous ODE...but using the form , what would be?

After hitting that dead end, I decided to try moving the to the right side and doing

then

then

and acting like is a constant.

When I try to do this, I end up with

which leaves me with ...and I get stuck.

Also, I have tried getting on the left side by making the left side one fraction and moving the dt over to the right...after I integrate, I get ...and I get stuck.

Am I forgetting some algebra here, or am I completely lost?

Please help me!

Thanks!