What is the solution for (dy)/(dx)=(x-8)/(y^3) ?

The solution for (dy)/(dx)=(x-8)/(y^3) is y=\sqrt[4]{2x^2-32x+c_{1}},y=-\sqrt[4]{2x^2-32x+c_{1}}

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(dy)/(dx)=(x-8)/(y^3)

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

Solution steps

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

Solve separable ODE:

y^{^{'}} = y^{2} (9 x + 5)

y^{^{'}} sec (x) = 5 y^{2}, y (\frac{π}{2}) = \frac{1}{2}

\frac{d Q}{d t} + \frac{Q}{20} = 0

\frac{d y}{d x} x y + 2 x + 3 x^{2} = 4

y^{2} \frac{d y}{d x} + 2 x y^{3} = 6 x, y (0) = 1

What is the solution for (dy)/(dx)=(x-8)/(y^3) ?
The solution for (dy)/(dx)=(x-8)/(y^3) is y=\sqrt[4]{2x^2-32x+c_{1}},y=-\sqrt[4]{2x^2-32x+c_{1}}