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

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

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(dy)/(dx)=((y^3))/(x^2)

\frac{d y}{d x} = \frac{( y ^{3} )}{x ^{2}}

y = - \frac{x}{2 ( - 1 + c _{1} x )}, y = - - \frac{x}{2 ( - 1 + c _{1} x )}

Solution steps

\frac{d y}{d x} = \frac{( y ^{3} )}{x ^{2}}

Solve separable ODE:

y = - \frac{x}{2 ( - 1 + c _{1} x )}, y = - - \frac{x}{2 ( - 1 + c _{1} x )}

y = - \frac{x}{2 ( - 1 + c _{1} x )}, y = - - \frac{x}{2 ( - 1 + c _{1} x )}

\frac{\partial}{\partial y} ((A^{2} x^{2} + B^{2} y^{2})^{4})

\int \frac{e ^{\frac{4}{x}}}{x ^{2}} d x

x \to - \infty lim (xx)

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