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

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

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(dy}{dx}=\frac{x^2)/y

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d x}{d t} = 2 (x^{2} + 1), x (\frac{π}{4}) = 1

\int \frac{x ^{2} - 2 x - 1}{x} d x

e^{1 - t}

x y^{^{'}} sin^{2} (\frac{y}{x}) = x + y sin^{2} (\frac{y}{x})

\frac{\partial}{\partial x} (8 y^{7} cos (8 x))

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