en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dv)/(dt)=-v

Solution

\frac{d v}{d t} = - v

Solution

v = e^{- t + c_{1}}

Solution steps

\frac{d v}{d t} = - v

Solve separable ODE:

v = e^{- t + c_{1}}

v = e^{- t + c_{1}}

Popular Examples

integral of sh x/3

\int s h \frac{x}{3} d x

tangent of f(x)=4x^2-8,\at 3 tangent of

f (x) = 4 x^{2} - 8, at 3

sum from n=1 to infinity of 3/n

n = 1 \sum \infty \frac{3}{n}

integral of 2/(t-t^3)

\int \frac{2}{t - t ^{3}} d t

(dy)/(dx)=(9x+2y)/(9x+2y+2)

\frac{d y}{d x} = \frac{9 x + 2 y}{9 x + 2 y + 2}

Frequently Asked Questions (FAQ)

What is the solution for (dv)/(dt)=-v ?
The solution for (dv)/(dt)=-v is v=e^{-t+c_{1}}