What is the solution for (dx)/(dt)=14-0.7x ?

The solution for (dx)/(dt)=14-0.7x is x=-(e^{-0.7t-c_{1}})/(0.7)+(14)/(0.7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dx)/(dt)=14-0.7x

\frac{d x}{d t} = 14 - 0.7 x

x = - \frac{e ^{- 0.7 t - c_{1}}}{0.7} + \frac{14}{0.7}

Solution steps

\frac{d x}{d t} = 14 - 0.7 x

Solve separable ODE:

x = - \frac{e ^{- 0.7 t - c_{1}}}{0.7} + \frac{14}{0.7}

x = - \frac{e ^{- 0.7 t - c_{1}}}{0.7} + \frac{14}{0.7}

\frac{d y}{d x} = \frac{3 sin ( x )}{y}

\frac{d y}{d x} + 16 x y = 0

2 x \frac{d y}{d x} + (1 - x) \frac{d y}{d x} - 2 y = 0

\frac{d y}{d x} = \frac{1 - y ^{2}}{1 - x ^{2}}

\frac{d P}{d t} = 2 Pt, P (1) = 5

What is the solution for (dx)/(dt)=14-0.7x ?
The solution for (dx)/(dt)=14-0.7x is x=-(e^{-0.7t-c_{1}})/(0.7)+(14)/(0.7)