en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{''}+3x^'-4x=0

Solution

x^{^{''}} + 3 x^{^{'}} - 4 x = 0

Solution

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

Solution steps

x^{''} (t) + 3 x^{'} (t) - 4 x = 0

Solve linear ODE:

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

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

Graph

Popular Examples

y^{''}+16y^'+73y=0,y(0)=4

y^{^{''}} + 16 y^{^{'}} + 73 y = 0, y (0) = 4

y^{''}+6y^'+10y=0,y(pi/2)=0,y^'(pi/2)=9

y^{^{''}} + 6 y^{^{'}} + 10 y = 0, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 9

y^{''}+6y^'+10y=0,y(pi/2)=0,y^'(pi/2)=2

y^{^{''}} + 6 y^{^{'}} + 10 y = 0, y (\frac{π}{2}) = 0, y^{^{'}} (\frac{π}{2}) = 2

y^{^{''}} + \frac{y}{4} = 0

y^{''}-y^'+144y=0

y^{^{''}} - y^{^{'}} + 144 y = 0

Frequently Asked Questions (FAQ)

What is the solution for x^{''}+3x^'-4x=0 ?
The solution for x^{''}+3x^'-4x=0 is x=c_{1}e^t+c_{2}e^{-4t}