ODE Problem: Find General Solution for y' + 2x = 5y^3

[flyingpig]

Homework Statement

Find the general solution to

$$y\frac{\mathrm{d} x}{\mathrm{d} y} + 2x = 5y^3$$

The Attempt at a Solution

I didn't know if they wanted to say x(y) or y(x)

So i went with x(y)

$$\frac{\mathrm{d} x}{\mathrm{d} y} + \frac{2x}{y} = 5y^2$$

Now this is bad because I got $$\frac{2x}{y}$$

Solutions say that

$$x = y^3 + Cy^{-2}$$

EDIT: NEVER MIND, SOLVED IT

 

[SammyS]

...

EDIT: NEVER MIND, SOLVED IT

Excellent !