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## Homework Statement

xy^2 dy/dx = y^3 - x^3 , y(1) = 2

## Homework Equations

## The Attempt at a Solution

It says to solve the initial value problem. I am assuming it is not a Bernoulli, but I can't seem to separate it. What should I do?

Thanks

This is what I get when I separate it, is this right?

y^2-y^3 dy = -x^2 dx