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

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

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(dy}{dx}= y/x+\frac{y^2)/x

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

y = \frac{e ^{c_{1}} x}{1 - e ^{c_{1}} x}

Solution steps

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

Solve separable ODE:

y = \frac{e ^{c_{1}} x}{1 - e ^{c_{1}} x}

y = \frac{e ^{c_{1}} x}{1 - e ^{c_{1}} x}

x \to 1 lim (2 x^{3})

(y - b) \cdot y^{^{'}} + x - a = 0

\int 19 - 18 x - x^{2} d x

\frac{\partial}{\partial y} (x^{3} - x y)

f (x) = (- 3 x^{2} - 2)^{4}

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