Differential Equation Question

Hi again, not posted in a while but started my degree course now and getting back into the swing of things.

Anyway, I was reading ahead in the differential equations module and had a go at a couple of questions. Not got any answers for them though so if someone would be kind enough to take a quick look would be appreciated :)

Solve

First divide through by x,

Then using the integrating factor of , I get the following equation:

Integrating both sides gives me:

Which can be tidied up to give

Just realised that if I had spotted the implicit differentiation I could have saved myself a lot of time, however is my rather long winded attempt still ok?

Thanks

Craig