en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)= 1/2 y

Solution

\frac{d y}{d x} = \frac{1}{2} y

Solution

y = e^{\frac{x + c _{1}}{2}}

Solution steps

\frac{d y}{d x} = \frac{1}{2} y

Solve separable ODE:

y = e^{\frac{x + c _{1}}{2}}

y = e^{\frac{x + c _{1}}{2}}

Popular Examples

derivative of y=(4x^2+4x+2)/(sqrt(x))derivative of

y = \frac{4 x ^{2} + 4 x + 2}{x}

integral from 0 to 3 of 1/(sqrt(3-x))

\int_{0}^{3} \frac{1}{3 - x} d x

integral of 1/(2sqrt(1-x^2))

\int \frac{1}{2 1 - x ^{2}} d x

y^{''}+4y^'+4y=2e^{-2t}

y^{^{''}} + 4 y^{^{'}} + 4 y = 2 e^{- 2 t}

taylor sqrt(x-1),0 taylor

x - 1, 0

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)= 1/2 y ?
The solution for (dy)/(dx)= 1/2 y is y=e^{(x+c_{1})/2}