What is the solution for (dy)/(dx)=-6/2 x^7y^3 ?

The solution for (dy)/(dx)=-6/2 x^7y^3 is y=sqrt(-4/(-3x^8+c_{1))},y=-sqrt(-4/(-3x^8+c_{1))}

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(dy)/(dx)=-6/2 x^7y^3

\frac{d y}{d x} = - \frac{6}{2} x^{7} y^{3}

y = - \frac{4}{- 3 x ^{8} + c _{1}}, y = - - \frac{4}{- 3 x ^{8} + c _{1}}

Solution steps

\frac{d y}{d x} = - \frac{6}{2} x^{7} y^{3}

Solve separable ODE:

y = - \frac{4}{- 3 x ^{8} + c _{1}}, y = - - \frac{4}{- 3 x ^{8} + c _{1}}

y = - \frac{4}{- 3 x ^{8} + c _{1}}, y = - - \frac{4}{- 3 x ^{8} + c _{1}}

\frac{d y}{d x} = (x^{2} y + y)^{3}

y^{^{'}} = - cos^{2} (y)

7 y^{^{'}} = \frac{e ^{x}}{7 + y}

\frac{d y}{y} + \frac{d y}{2} = d x

\frac{d y}{d x} = 4 x^{2} y + 5 x y

What is the solution for (dy)/(dx)=-6/2 x^7y^3 ?
The solution for (dy)/(dx)=-6/2 x^7y^3 is y=sqrt(-4/(-3x^8+c_{1))},y=-sqrt(-4/(-3x^8+c_{1))}