What is the solution for (dy)/(dx)=(x^{2-1})/(y^2) ?

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

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(dy)/(dx)=(x^{2-1})/(y^2)

\frac{d y}{d x} = \frac{x ^{2 - 1}}{y ^{2}}

y = 3 \frac{3 x ^{2}}{2} + c_{1}

Solution steps

\frac{d y}{d x} = \frac{x ^{2 - 1}}{y ^{2}}

Solve separable ODE:

y = 3 \frac{3 x ^{2}}{2} + c_{1}

y = 3 \frac{3 x ^{2}}{2} + c_{1}

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