What is the solution for (x^2+4)dy=(2x-10xy)dx ?

The solution for (x^2+4)dy=(2x-10xy)dx is y=(c_{1})/(5(x^{10)+20x^8+160x^6+640x^4+1280x^2+1024)}+1/5

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(x^2+4)dy=(2x-10xy)dx

(x^{2} + 4) d y = (2 x - 10 x y) d x

y = \frac{c _{1}}{5 ( x ^{10} + 20 x ^{8} + 160 x ^{6} + 640 x ^{4} + 1280 x ^{2} + 1024 )} + \frac{1}{5}

Solution steps

(x^{2} + 4) d y = (2 x - 10 x y) d x

Solve separable ODE:

y = \frac{c _{1}}{5 ( x ^{10} + 20 x ^{8} + 160 x ^{6} + 640 x ^{4} + 1280 x ^{2} + 1024 )} + \frac{1}{5}

y = \frac{c _{1}}{5 ( x ^{10} + 20 x ^{8} + 160 x ^{6} + 640 x ^{4} + 1280 x ^{2} + 1024 )} + \frac{1}{5}

x \to 0 + lim (\frac{( ln ( x ) )}{x})

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What is the solution for (x^2+4)dy=(2x-10xy)dx ?
The solution for (x^2+4)dy=(2x-10xy)dx is y=(c_{1})/(5(x^{10)+20x^8+160x^6+640x^4+1280x^2+1024)}+1/5