What is the solution for (dy)/(dx)=-6/8 x^4y^6 ?

The solution for (dy)/(dx)=-6/8 x^4y^6 is y=-\sqrt[5]{4/(-3x^5+c_{1)}}

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(dy)/(dx)=-6/8 x^4y^6

\frac{d y}{d x} = - \frac{6}{8} x^{4} y^{6}

Solution steps

\frac{d y}{d x} = - \frac{6}{8} x^{4} y^{6}

Solve separable ODE:

tan (x) sin^{2} (y) d x + cos^{2} (x) cos (y) d y = 0

\frac{d y}{d x} = \frac{4 x}{7 y}

\frac{d y}{d x} = - \frac{4}{5} x^{3} y^{8}

2 y (y - 1) d x + x (2 y - 1) d y = 0

\frac{d y}{d x} + \frac{1}{50} y = 4

What is the solution for (dy)/(dx)=-6/8 x^4y^6 ?
The solution for (dy)/(dx)=-6/8 x^4y^6 is y=-\sqrt[5]{4/(-3x^5+c_{1)}}