Simple DE....but lack of practice.

Hey,

I haven't looked at differential equations for some years... and I'm having trouble with two really simple ones....(Speechless)

........ODE (1)

and ............ ODE (2)

The text I'm looking at says the answers for ODE (1) and ODE (2) should be and respectively.

I thought the solutions (not imposing the initial conditions are) for each of the conditions are

and respectively.

I must be doing this incorrectly. Do I use separation of variables?

and

?

If so, how do I integrate and ?

Thanks