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}}

\int (4 x + 3) cos (x) d x

y^{^{''}} + 3 y^{^{'}} + 2 = 0

\int_{1}^{9} e^{x} d x

k = 1 \sum \infty \frac{1}{k ^{4}}

4 x^{2} cos (x) + 3 x

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)}