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)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(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}

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)}