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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

\int \frac{( e ^{2 x} )}{49 + e ^{4 x}} d x

\frac{d ^{2}}{d x ^{2}} (x^{\frac{6}{7}} + 5 x)

y^{^{'}} = 1 + a y

\frac{d}{d x} (cos (5 x^{2} - 7 x) (10 x - 7))

x y^{^{'}} - 3 y = x^{3}

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