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

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

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

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

y = \frac{x ^{2}}{- x + c _{1}}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{x ^{2}}{- x + c _{1}}

y = \frac{x ^{2}}{- x + c _{1}}

x \to 1 + lim (\frac{ln ( x )}{x - 1})

x \to 0 lim (\frac{6}{x ^{2} + x} - \frac{6}{x})

\int_{- 1}^{3} x (x - 1) (x + 2) d x

\int x^{3} x^{2} + 19 d x

y = \frac{4}{5 x + 1}, (- 1, - 1)

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