What is the solution for (dy)/(dx)=-5/3 x^5y^7 ?

The solution for (dy)/(dx)=-5/3 x^5y^7 is y=\sqrt[6]{-3/(-5x^6+c_{1)}},y=-\sqrt[6]{-3/(-5x^6+c_{1)}}

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(dy)/(dx)=-5/3 x^5y^7

\frac{d y}{d x} = - \frac{5}{3} x^{5} y^{7}

Solution steps

\frac{d y}{d x} = - \frac{5}{3} x^{5} y^{7}

Solve separable ODE:

y^{^{'}} = y \frac{1 - y}{1 + y}

y^{^{'}} + b y = a

(1 + y^{2}) d x - 50 x d y = 0

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

x \frac{d y}{d x} + y = 1

What is the solution for (dy)/(dx)=-5/3 x^5y^7 ?
The solution for (dy)/(dx)=-5/3 x^5y^7 is y=\sqrt[6]{-3/(-5x^6+c_{1)}},y=-\sqrt[6]{-3/(-5x^6+c_{1)}}