What is the solution for x(dy)/(dx)+y=-6xy^2 ?

The solution for x(dy)/(dx)+y=-6xy^2 is y= 1/(x(6ln(x)+c_{1))}

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x(dy)/(dx)+y=-6xy^2

x \frac{d y}{d x} + y = - 6 x y^{2}

y = \frac{1}{x ( 6 ln ( x ) + c _{1} )}

Solution steps

x \frac{d y}{d x} + y = - 6 x y^{2}

Solve Bernoulli ODE:

y = \frac{1}{x ( 6 ln ( x ) + c _{1} )}

y = \frac{1}{x ( 6 ln ( x ) + c _{1} )}

x \to 2 lim (2 x^{2} - 4 x)

\int \frac{3 x ^{2}}{1 - 6 x ^{3}} d x

\frac{\partial}{\partial x} (y sin (z))

x \to - 8 - lim (\frac{x + 2}{x + 8})

8 x - 10, x^{2} - 4 x + 10

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