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## Homework Statement

"Solve this differential equation algebraically, subject to the initial condition that [tex]y=10[/tex] at [tex]t=0[/tex]

## Homework Equations

[tex]\frac{dy}{dt} = 2y*\frac{1000-y}{1000}[/tex]

## The Attempt at a Solution

I first reduced the right side to [tex]\frac{-y^2}{500} + 2y[/tex]

After that I separated the variables, but I don't know how to integrate that function.

Can anyone point me in the right step?

[tex]\int \frac {dy}{\frac{-y^2}{500}+2y}[/tex]

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