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

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

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(dy}{dx}=\frac{y^3)/x

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

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

Solution steps

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

Solve separable ODE:

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

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

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x \to 2 lim (\frac{2 x + 1}{x + 2})

\frac{d}{d x} (16 e^{2 x} x + 32 e^{2 x})

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