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

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

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(dy)/(dx)=y^2*x^{-3}

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

y = - \frac{2 x ^{2}}{- 1 + 2 c _{1} x ^{2}}

Solution steps

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

Solve separable ODE:

y = - \frac{2 x ^{2}}{- 1 + 2 c _{1} x ^{2}}

y = - \frac{2 x ^{2}}{- 1 + 2 c _{1} x ^{2}}

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