What is the solution for (dy)/(dx)=-(1+y)^4 ?

The solution for (dy)/(dx)=-(1+y)^4 is y=\sqrt[3]{1/(3(x+c_{1))}}-1

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(dy)/(dx)=-(1+y)^4

\frac{d y}{d x} = - (1 + y)^{4}

Solution steps

\frac{d y}{d x} = - (1 + y)^{4}

Solve separable ODE:

\frac{d}{d x} (\frac{1}{2} x + 4)

\frac{\partial}{\partial y} (2 x y + 3 y)

\int 2 x + 1 d x

\int x^{2} x^{3 + 1} d x

x \to - 1 lim (\frac{x - 1}{x ^{1} - 1})

What is the solution for (dy)/(dx)=-(1+y)^4 ?
The solution for (dy)/(dx)=-(1+y)^4 is y=\sqrt[3]{1/(3(x+c_{1))}}-1