en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dS)/(dt)=-aS(t)

Solution

\frac{d S}{d t} = - a S (t)

Solution

S = e^{- a t + c_{1}}

Solution steps

\frac{d S}{d t} = - a S

Solve separable ODE:

S = e^{- a t + c_{1}}

S = e^{- a t + c_{1}}

Popular Examples

(dP)/(dt)=0.05P(1-P/(1000))-8

\frac{d P}{d t} = 0.05 P (1 - \frac{P}{1000}) - 8

x y^{^{'}} = (2 x^{2} - 1) y

derivative of hg(x)=hg(x)

\frac{d}{d x} (h g (x)) = h g (x)

y^{^{'}} + \frac{1}{a ^{2}} y = 0

(dy)/(dx)=(3x-2)^3e^{2y}

\frac{d y}{d x} = (3 x - 2)^{3} e^{2 y}

Frequently Asked Questions (FAQ)

What is the solution for (dS)/(dt)=-aS(t) ?
The solution for (dS)/(dt)=-aS(t) is S=e^{-at+c_{1}}