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## Homework Statement

Equation: dy/dx=x+1/3y^2 where y>0

## Homework Equations

I'm to show that (1/2x^2+x+8)^1/3 is a solution

## The Attempt at a Solution

Splitting it up in x/3y^2+1/3y^2 has been futile and I'm out of ideas.

Can anyone help me see the light?