What is the solution for (dy)/(dt)= 1/(y-2) ?

The solution for (dy)/(dt)= 1/(y-2) is y=(4+sqrt(16-4(-c_{1)-2t)})/2 ,y=(4-sqrt(16-4(-c_{1)-2t)})/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(dy)/(dt)= 1/(y-2)

\frac{d y}{d t} = \frac{1}{y - 2}

y = \frac{4 + 16 - 4 ( - c _{1} - 2 t )}{2}, y = \frac{4 - 16 - 4 ( - c _{1} - 2 t )}{2}

Solution steps

\frac{d y}{d t} = \frac{1}{y - 2}

Solve separable ODE:

y = \frac{4 + 16 - 4 ( - c _{1} - 2 t )}{2}, y = \frac{4 - 16 - 4 ( - c _{1} - 2 t )}{2}

y = \frac{4 + 16 - 4 ( - c _{1} - 2 t )}{2}, y = \frac{4 - 16 - 4 ( - c _{1} - 2 t )}{2}

What is the solution for (dy)/(dt)= 1/(y-2) ?
The solution for (dy)/(dt)= 1/(y-2) is y=(4+sqrt(16-4(-c_{1)-2t)})/2 ,y=(4-sqrt(16-4(-c_{1)-2t)})/2