What is the solution for (dy)/(dt)=100-y,y(0)=20 ?

The solution for (dy)/(dt)=100-y,y(0)=20 is y=-80e^{-t}+100

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=100-y,y(0)=20

\frac{d y}{d t} = 100 - y, y (0) = 20

y = - 80 e^{- t} + 100

Solution steps

\frac{d y}{d t} = 100 - y

Solve separable ODE:

y = - 80 e^{- t} + 100

y = - 80 e^{- t} + 100

\frac{d x}{d t} = 30 - 11 x + x^{2}

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

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

\frac{d}{d x} (z (x) \cdot e^{2 x}) = e^{2 x}

e^{y} \cdot d y - 2 x \cdot d x = 0

What is the solution for (dy)/(dt)=100-y,y(0)=20 ?
The solution for (dy)/(dt)=100-y,y(0)=20 is y=-80e^{-t}+100