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 x^{2} x - 2 d x

\int_{1}^{4} - 9 t ln (t) d t

x \to 0 - lim (\frac{x + 16}{x})

y = (4 x^{2} - 6 x) e^{x}

\int \frac{2 x + 3}{x ( x ^{2} - 4 ) ( x + 2 ) ^{2}} d x

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}}