What is the solution for x(dy)/(dx)+y=-5xy^2 ?

The solution for x(dy)/(dx)+y=-5xy^2 is y= 1/(x(5ln(x)+c_{1))}

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x(dy)/(dx)+y=-5xy^2

x \frac{d y}{d x} + y = - 5 x y^{2}

y = \frac{1}{x ( 5 ln ( x ) + c _{1} )}

Solution steps

x \frac{d y}{d x} + y = - 5 x y^{2}

Solve Bernoulli ODE:

y = \frac{1}{x ( 5 ln ( x ) + c _{1} )}

y = \frac{1}{x ( 5 ln ( x ) + c _{1} )}

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\frac{\partial}{\partial x} ((x + y) ln (x y))

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\frac{d}{d x} (x^{2} sin (x))

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What is the solution for x(dy)/(dx)+y=-5xy^2 ?
The solution for x(dy)/(dx)+y=-5xy^2 is y= 1/(x(5ln(x)+c_{1))}