What is the solution for (xdy)/(dx)+y=-8xy^2,y(1)=5 ?

The solution for (xdy)/(dx)+y=-8xy^2,y(1)=5 is y= 1/(x(8ln(x)+c_{1))}

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(xdy)/(dx)+y=-8xy^2,y(1)=5

\frac{x d y}{d x} + y = - 8 x y^{2}, y (1) = 5

y = \frac{1}{x ( 8 ln ( x ) + c _{1} )}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{1}{x ( 8 ln ( x ) + c _{1} )}

y = \frac{1}{x ( 8 ln ( x ) + c _{1} )}

What is the solution for (xdy)/(dx)+y=-8xy^2,y(1)=5 ?
The solution for (xdy)/(dx)+y=-8xy^2,y(1)=5 is y= 1/(x(8ln(x)+c_{1))}