What is the solution for xy+y^2-x^2*(dy)/(dx)=0 ?

The solution for xy+y^2-x^2*(dy)/(dx)=0 is y= x/(-ln(x)+c_{1)}

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xy+y^2-x^2*(dy)/(dx)=0

x y + y^{2} - x^{2} \cdot \frac{d y}{d x} = 0

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

Solution steps

x y + y^{2} - x^{2} \cdot \frac{d y}{d x} = 0

Solve Bernoulli ODE:

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

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

\int x + x^{2} d x

\int 8 cot (e^{4 x}) e^{4 x} d x

x \to 3 lim (x - 3)

\frac{d}{d x} ((1 + x)^{- \frac{1}{2}})

What is the solution for xy+y^2-x^2*(dy)/(dx)=0 ?
The solution for xy+y^2-x^2*(dy)/(dx)=0 is y= x/(-ln(x)+c_{1)}