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

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

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(dy)/(dx)=-y^3

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

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

Solution steps

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

Solve separable ODE:

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

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

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