Question

Find the solution of
y˙ = (y + t)^2
that satisfies y(0) = 0. Hint: Use the substitution y(t) = z(t) − t to obtain a separable
differential equation for z(t).

Answer 1

That's supposed to be y with a . above it.

Answer 2

Tell me if this is right, please?

http://www.wolframalpha.com/input/?i=y%27+%3D+%28y+%2B+t%29^2%2C+y%280%29+%3D+0

Answer 3

I don't know. Seems right, but the question does specify to use the substitution.

Answer 4

I know, I just wanted to test Wolfram for it, thank u.

Answer 5

No problem.