What is the solution for (dy)/(dx)=-y^{1/3} ?

The solution for (dy)/(dx)=-y^{1/3} is

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(dy)/(dx)=-y^{1/3}

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

y = \frac{2 2 - x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} - 3 c _{1}^{2} x}{3 3}, y = - \frac{2 2 - x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} - 3 c _{1}^{2} x}{3 3}

Solution steps

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

Solve separable ODE:

y = \frac{2 2 - x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} - 3 c _{1}^{2} x}{3 3}, y = - \frac{2 2 - x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} - 3 c _{1}^{2} x}{3 3}

y = \frac{2 2 - x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} - 3 c _{1}^{2} x}{3 3}, y = - \frac{2 2 - x ^{3} + c _{1}^{3} + 3 c _{1} x ^{2} - 3 c _{1}^{2} x}{3 3}

\frac{d ^{3}}{d x ^{3}} (e^{- x^{2}})

y = 2 x^{3}, y = 18 x

f (x) = 3 x - 2 x^{2}, (- 3, - 27)

x \to 0 lim (π^{2})

\frac{d ^{2}}{d x ^{2}} (\frac{( x - 5 ) ( x ^{2} + 5 x + 25 )}{x ^{3}})

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