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

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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

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