Question

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Answer 1

start by separating the variables. y' = .......

Answer 2

\(y' -2y=y^2\\y'= y^2+2y\\\dfrac{dy}{dx}= y^2+2y\\\dfrac{dy}{y^2+2y}=dx\)
integral both sides
\[\int \dfrac{1}{y^2+2y}dx=\int dx\]
I think you are stuck here.
Just use partial fraction for the left hand side by factor y out as y(1+y) for denominator.

Answer 3

And then everything is easy.

Answer 4

Thank you very much =)