What is the solution for (dx)/(-8x)=(dy)/(-2y) ?

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

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(dx)/(-8x)=(dy)/(-2y)

\frac{d x}{- 8 x} = \frac{d y}{- 2 y}

y = c_{1} 4 x

Solution steps

\frac{d x}{- 8 x} = \frac{d y}{- 2 y}

Solve separable ODE:

y = c_{1} 4 x

y = c_{1} 4 x

(3 x^{2} + 2)^{3} \frac{d y}{d x} - x y^{2} = 0

\frac{d y}{d t} = (y t)^{\frac{1}{5}}

sin (x) \frac{d y}{d x} + (cos (x)) y = 0

y^{^{'}} + 2 \cdot \frac{y}{x} = 0

\frac{d y}{d x} = 9 x^{8} y

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