General solution of a differential equation (separable)

[hpayandah]

Homework Statement

Find the general solution of the differential equation y'=4t-ty^2

Homework Equations

y'=4t-ty^2

The Attempt at a Solution

I 'think' this question is pretty straight forward but I'm still not sure if I did it right or not. I have two question. One till the last step that I have done, have I done it correctly 2. How do I proceed from there? The attempt is attached.

 

[dextercioby]

What you've written is correct. Normally, you should know on what subset of R you're looking for y. If not, then keep the modulus there and don't explicitate.

 

[hpayandah]

What you've written is correct. Normally, you should know on what subset of R you're looking for y. If not, then keep the modulus there and don't explicitate.

The proff didn't give any range for y. So by don't explicitate you mean I should keep it the way it is?

 

[dextercioby]

Yes.