What is the solution for xy^2((dy)/(dx))=y^3-x^3 ?

The solution for xy^2((dy)/(dx))=y^3-x^3 is y=x\sqrt[3]{-3ln(x)+c_{1}}

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

x y^{2} (\frac{d y}{d x}) = y^{3} - x^{3}

y = x 3 - 3 ln (x) + c_{1}

Solution steps

x y^{2} (\frac{d y}{d x}) = y^{3} - x^{3}

Solve Bernoulli ODE:

y = x 3 - 3 ln (x) + c_{1}

y = x 3 - 3 ln (x) + c_{1}

\int (2 x y^{2} + 2 y) d x

x y^{^{'}} + 2 y = 3 x

y = 2 - x^{2}, y = - x

x - y

3 cos (6 t)

What is the solution for xy^2((dy)/(dx))=y^3-x^3 ?
The solution for xy^2((dy)/(dx))=y^3-x^3 is y=x\sqrt[3]{-3ln(x)+c_{1}}