What is the solution for 5(dv)/(dt)=49.05-50v ?

The solution for 5(dv)/(dt)=49.05-50v is v=-0.02e^{-10t-c_{1}}+0.981

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5(dv)/(dt)=49.05-50v

5 \frac{d v}{d t} = 49.05 - 50 v

v = - 0.02 e^{- 10 t - c_{1}} + 0.981

Solution steps

5 \frac{d v}{d t} = 49.05 - 50 v

Solve separable ODE:

v = - 0.02 e^{- 10 t - c_{1}} + 0.981

v = - 0.02 e^{- 10 t - c_{1}} + 0.981

y = \frac{1}{2} x^{2} + 2 x + 3

\frac{x - 15}{x - 15}

x \to 0 lim (\frac{x}{sin ( x ^{2} )})

\int_{2}^{8} x^{3} ln (2 x) d x

\frac{d}{d x} (\frac{2}{5} \cdot ln (x))

What is the solution for 5(dv)/(dt)=49.05-50v ?
The solution for 5(dv)/(dt)=49.05-50v is v=-0.02e^{-10t-c_{1}}+0.981