What is the solution for (dy)/(dx)=x^2y^{-5} ?

The solution for (dy)/(dx)=x^2y^{-5} is y=\sqrt[6]{2x^3+c_{1}},y=-\sqrt[6]{2x^3+c_{1}}

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(dy)/(dx)=x^2y^{-5}

\frac{d y}{d x} = x^{2} y^{- 5}

Solution steps

\frac{d y}{d x} = x^{2} y^{- 5}

Solve separable ODE:

(2 x y^{2} + 3 x^{2}) d x + (2 x^{2} y) d y = 0

(2 x - 5) (x + 4)

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\int cos (3 x) - sin (x) d x

x = y^{2} - 36, x = 36 - y^{2}

What is the solution for (dy)/(dx)=x^2y^{-5} ?
The solution for (dy)/(dx)=x^2y^{-5} is y=\sqrt[6]{2x^3+c_{1}},y=-\sqrt[6]{2x^3+c_{1}}