What is the solution for (dy)/(dx)=-(xy)/(y-1) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=-(xy)/(y-1)

\frac{d y}{d x} = - \frac{x y}{y - 1}

y = - W (- \frac{1}{e ^{\frac{c _{1} - x ^{2}}{2}}})

Solution steps

\frac{d y}{d x} = - \frac{x y}{y - 1}

Solve separable ODE:

y = - W (- \frac{1}{e ^{\frac{c _{1} - x ^{2}}{2}}})

y = - W (- \frac{1}{e ^{\frac{c _{1} - x ^{2}}{2}}})

y = x^{2}, y = 8 + x

\int 100 t^{2} + 36 t^{4} d t

9 \frac{d}{d x} (\frac{d y}{d x}) + 10 y = 0

x \to - 3 - lim (\frac{x}{x + 3})

x \to 0 lim ((x) (ln (x))^{2})

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