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}

y = x^{2}, y = 9

x^{\frac{7}{2}}

\frac{d}{d t} (t e^{- 2 t})

\frac{\partial}{\partial x} (cos (x^{2} + y^{2}))

\int (2400 x) 3 + 2 x d x

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)}