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

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

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(dy)/(dx)+y/x =2x^8y^2

\frac{d y}{d x} + \frac{y}{x} = 2 x^{8} y^{2}

y = \frac{4}{x ( - x ^{8} + c _{1} )}

Solution steps

\frac{d y}{d x} + \frac{y}{x} = 2 x^{8} y^{2}

Solve Bernoulli ODE:

y = \frac{4}{x ( - x ^{8} + c _{1} )}

y = \frac{4}{x ( - x ^{8} + c _{1} )}

\frac{\partial}{\partial x} (arctan (9 x))

y = (4 x^{2} + 3) (2 x - 3)

\int 18 arctan (x) d x

\frac{d ^{2}}{d x ^{2}} (\frac{2 x - 3}{3 x + 1})

f (x) = x^{4} + 2 \cdot e^{x}, at x = 0

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