What is the solution for (x^2+4)(dy)/(dx)=2x-8xy ?

The solution for (x^2+4)(dy)/(dx)=2x-8xy is y=(c_{1})/(4(x^8+16x^6+96x^4+256x^2+256))+1/4

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(x^2+4)(dy)/(dx)=2x-8xy

(x^{2} + 4) \frac{d y}{d x} = 2 x - 8 x y

y = \frac{c _{1}}{4 ( x ^{8} + 16 x ^{6} + 96 x ^{4} + 256 x ^{2} + 256 )} + \frac{1}{4}

Solution steps

(x^{2} + 4) \frac{d y}{d x} = 2 x - 8 x y

Solve separable ODE:

y = \frac{c _{1}}{4 ( x ^{8} + 16 x ^{6} + 96 x ^{4} + 256 x ^{2} + 256 )} + \frac{1}{4}

y = \frac{c _{1}}{4 ( x ^{8} + 16 x ^{6} + 96 x ^{4} + 256 x ^{2} + 256 )} + \frac{1}{4}

x \to 2 lim (r (x))

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

\frac{s + 1}{s ^{2} + 2 s + 5}

\frac{d}{d x} (\frac{x ^{2}}{9 - x ^{2}})

\frac{\partial}{\partial x} (2 y x)

What is the solution for (x^2+4)(dy)/(dx)=2x-8xy ?
The solution for (x^2+4)(dy)/(dx)=2x-8xy is y=(c_{1})/(4(x^8+16x^6+96x^4+256x^2+256))+1/4