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

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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

\frac{d}{d x} (\frac{3}{4 x - 5})

x y^{^{'}} = y ln (x y)

x \to 0 + lim (2 x ln (4 x^{2}))

\frac{d y}{d x} = \frac{x}{3 y ^{2}}

n = 1 \sum \infty \frac{25 n !}{n ^{n}}

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