What is the solution for (dy)/(dx)=(y/(y-x)) ?

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

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(dy)/(dx)=(y/(y-x))

\frac{d y}{d x} = (\frac{y}{y - x})

y = x + x^{2} + c_{1}, y = x - x^{2} + c_{1}

Solution steps

\frac{d y}{d x} = (\frac{y}{y - x})

Solve exact ODE:

y = x + x^{2} + c_{1}, y = x - x^{2} + c_{1}

y = x + x^{2} + c_{1}, y = x - x^{2} + c_{1}

\frac{d}{d x} (x (x + 4)^{\frac{1}{3}})

x \to 0 - lim (x^{3} + 2 x + 2)

y^{^{'}} = \frac{x}{y} + \frac{y}{x}

y = 6 + 2 x, y = \frac{12 + x}{2}

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

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