Question

dy/dx=2y^2 and if y=-1 when x=1, then when x=2, y=?

(you already posted this, but i still don't get it)
dy/dx = 2y^2

Integrating...y=2/3 y^3 + C
put 1,-1 into the equation, and solve for C

c=-1/3

so the equation is y=(2y^3)/3-1/3

then i have to find what y equals when x=2. how do i do that. there's no x in the equation.

Now, if the problem is dx/dy = 2y^2

then x=2/3 y^3 + C and you solve.

Recheck which it is.