- #1

Destroxia

- 204

- 7

## Homework Statement

Solve the differential equation, explicitly.

dy/dx = (2x)/(1+2y)

The answer given by the book is...

-1/2 + 1/2sqrt(2x - 2x^2 +4)

## Homework Equations

Process for solving separable differential equations

## The Attempt at a Solution

dy/dx = (2x)/(1+2y)

(1 + 2y)*dy = 2x*dx

∫(1+2y)*dy = ∫2x*dx

y + y^2 = x^2 + C

...

I seem to have solved it, implicitly, but I see no way of solving it explicitly.