en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Graph

Popular Examples

limit as x approaches 0+of (x^2-1)/x

x \to 0 + lim (\frac{x ^{2} - 1}{x})

tangent of (2x-1)/(x+1)tangent of

\frac{2 x - 1}{x + 1}

(v-1)/(v^2-2v+1)dv=-1/y dy

\frac{v - 1}{v ^{2} - 2 v + 1} d v = - \frac{1}{y} d y

(\partial)/(\partial x)(Tx^5y^4z^8)

\frac{\partial}{\partial x} (T x^{5} y^{4} z^{8})

inverse oflaplace 1/(s^2+5s+2)inverse laplace

\frac{1}{s ^{2} + 5 s + 2}

Frequently Asked Questions (FAQ)

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