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

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

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

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

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

Solution steps

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

Solve separable ODE:

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

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

(\frac{d y}{d x}) y = e^{5 x}

x^{^{'}} = \frac{- 4 x}{150}

y^{^{'}} + 3 y = 1, 3 sin (t) y (0) = 6

x^{2} \frac{d y}{d x} = y (4 x + 2)

\frac{d y}{d x} y = 11 - 2 x^{4} - 3 x^{3}

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