Can someone help with a separation of variables problem

It's a little difficult to "read" typed math, so I have provided an image of the problem I'm trying to solve:

http://i54.tinypic.com/33ergo4.png

I know I need to separate my variables. I multiplied one side by -e^y and the other side by dt (not sure if this is the move I was supposed to use). I think I'm just messing up on my algebra or something, because I keep getting the incorrect answer.

I also have to find the value of y at equilibrium. How do I approach this? I find where y is equal to zero and then what?

Thank you so much for your time! :)

dy/dt = -1/(e^y* t^2)
e^y dy = (-1/t^2) dt
e^y = 1/t + k
y = ln[1/t + k]
Were you given more info to find k ?

When t tends to infinity 1/t shrinks
the value of y at equilibrium is ln k

Regards - Ian