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

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

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

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

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

Solution steps

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

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 )}

\int \frac{3 ^{x}}{1 + 9 ^{x}} d x

- \frac{12}{x ^{5}}

f (x) = - 3 x^{2} - 4 x

\frac{d}{d y} (\frac{1 - cos ( y )}{1 - cos ( 2 y )})

\frac{150 t}{t + 3}

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