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

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

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(dy)/(dx)=(-x^2y)/(1+x^3)

\frac{d y}{d x} = \frac{- x ^{2} y}{1 + x ^{3}}

Solution steps

\frac{d y}{d x} = \frac{- x ^{2} y}{1 + x ^{3}}

Solve separable ODE:

\frac{d}{d t} (1 + (t - y)^{2})

\frac{d}{d x} (\frac{1}{( 3 + x ) ^{3}})

x \to 6 lim (\frac{x ^{2} - 3}{x - 6})

x \to - 2 lim (2 x)

\frac{\partial}{\partial x} (\frac{2}{x - 3})

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