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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

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