en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+2y^'=8

Solution

y^{^{''}} + 2 y^{^{'}} = 8

Solution

y = c_{1} + c_{2} e^{- 2 t} + 4 t

Solution steps

y^{''} (t) + 2 y^{'} (t) = 8

Solve linear ODE:

y = c_{1} + c_{2} e^{- 2 t} + 4 t

y = c_{1} + c_{2} e^{- 2 t} + 4 t

Popular Examples

y^'=-y/(2000)4,y(0)=70

y^{^{'}} = - \frac{y}{2000} 4, y (0) = 70

integral from 0 to pi/8 of x(sec(2x))^2

\int_{0}^{\frac{π}{8}} x (sec (2 x))^{2} d x

derivative of (2x^2-1/(x^{3-x)})

\frac{d}{d x} (\frac{2 x ^{2} - 1}{x ^{3 - x}})

derivative of-11(3^{x-4})

\frac{d}{d x} (- 11 (3)^{x - 4})

integral of arctan(9t)

\int arctan (9 t) d t

Frequently Asked Questions (FAQ)

What is the solution for y^{''}+2y^'=8 ?
The solution for y^{''}+2y^'=8 is y=c_{1}+c_{2}e^{-2t}+4t