What is the solution for x(dy)/(dx)+y=9xy^2 ?

The solution for x(dy)/(dx)+y=9xy^2 is y= 1/(x(-9ln(x)+c_{1))}

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x(dy)/(dx)+y=9xy^2

x \frac{d y}{d x} + y = 9 x y^{2}

y = \frac{1}{x ( - 9 ln ( x ) + c _{1} )}

Solution steps

x \frac{d y}{d x} + y = 9 x y^{2}

Solve Bernoulli ODE:

y = \frac{1}{x ( - 9 ln ( x ) + c _{1} )}

y = \frac{1}{x ( - 9 ln ( x ) + c _{1} )}

What is the solution for x(dy)/(dx)+y=9xy^2 ?
The solution for x(dy)/(dx)+y=9xy^2 is y= 1/(x(-9ln(x)+c_{1))}