What is the solution for y^'=(x^2)/y ?

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

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y^'=(x^2)/y

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

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

Solution steps

y^{'} (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}

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