en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

(dy)/(dt)=e^{-t}

Solution

\frac{d y}{d t} = e^{- t}

Solution

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

Solution steps

\frac{d y}{d t} = e^{- t}

Substitute

\frac{d y}{d t}

with

y^{'} (t)

y^{^{'}} (t) = e^{- t}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int e^{- t} d t

\int e^{- t} d t = - e^{- t} + c_{1}

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

Graph

Popular Examples

(\partial)/(\partial y)(2xz)

derivative of e^{-4}

tangent of y=sqrt(x+3),(1,2)

derivative of sin(x)+7/5 cot(x)

area x^2=y+1,x+y=1

Frequently Asked Questions (FAQ)

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