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

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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

\frac{d y}{d x} = 16 4 4 x^{4} + 4

y^{^{''}} + 2 y^{^{'}} + 26 y = 0

2^{x}, ln (x), \frac{1}{2}, 2

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

\int 3 y e^{3 x} d x

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