en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dt)=-1-2y

Solution

\frac{d y}{d t} = - 1 - 2 y

Solution

y = \frac{e ^{- 2 t - c_{1}}}{2} - \frac{1}{2}

Solution steps

\frac{d y}{d t} = - 1 - 2 y

Solve separable ODE:

y = \frac{e ^{- 2 t - c_{1}}}{2} - \frac{1}{2}

y = \frac{e ^{- 2 t - c_{1}}}{2} - \frac{1}{2}

Popular Examples

(\partial)/(\partial x)(ysin(yx))

\frac{\partial}{\partial x} (y sin (y x))

limit as n approaches 100 of [1+(1/n)]^n

n \to 100 lim ([1 + (\frac{1}{n})]^{n})

slope of (0.2)(3.8)slope

(0.2) (3.8)

(\partial)/(\partial x)(2xy-e^{-2y})

\frac{\partial}{\partial x} (2 x y - e^{- 2 y})

y^'=(e^{x+y})/(1+e^x),y(1)=0

y^{^{'}} = \frac{e ^{x + y}}{1 + e ^{x}}, y (1) = 0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=-1-2y ?
The solution for (dy)/(dt)=-1-2y is y=(e^{-2t-c_{1}})/2-1/2