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

The solution for (dy)/(dx)= x/(y^3) is y=\sqrt[4]{2x^2+c_{1}},y=-\sqrt[4]{2x^2+c_{1}}

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(dy)/(dx)= x/(y^3)

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

Solution steps

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

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What is the solution for (dy)/(dx)= x/(y^3) ?
The solution for (dy)/(dx)= x/(y^3) is y=\sqrt[4]{2x^2+c_{1}},y=-\sqrt[4]{2x^2+c_{1}}