en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{''}-x=-1

Solution

x^{^{''}} - x = - 1

Solution

x = c_{1} e^{t} + c_{2} e^{- t} + 1

Solution steps

x^{''} (t) - x = - 1

Solve linear ODE:

x = c_{1} e^{t} + c_{2} e^{- t} + 1

x = c_{1} e^{t} + c_{2} e^{- t} + 1

Graph

Popular Examples

y^{''}+6y^'+9y=cos(3x)

y^{^{''}} + 6 y^{^{'}} + 9 y = cos (3 x)

3y^{''}-10y^'-13y=13x-3

3 y^{^{''}} - 10 y^{^{'}} - 13 y = 13 x - 3

y^{''}+2y^'-3y=te^{-3t}

y^{^{''}} + 2 y^{^{'}} - 3 y = t e^{- 3 t}

y^{'''}+25y^'=10sin(5x)-4x^2

y^{^{'''}} + 25 y^{^{'}} = 10 sin (5 x) - 4 x^{2}

y^{''}+4y^'+8y=e^{2x}(sin(2x)+cos(2x))

y^{^{''}} + 4 y^{^{'}} + 8 y = e^{2 x} (sin (2 x) + cos (2 x))

Frequently Asked Questions (FAQ)

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