en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{''}-3x^'+2x=0

Solution

x^{^{''}} - 3 x^{^{'}} + 2 x = 0

Solution

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

Solution steps

x^{''} (t) - 3 x^{'} (t) + 2 x = 0

Solve linear ODE:

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

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

Popular Examples

derivative of 2^xsec(x)

\frac{d}{d x} (2^{x} sec (x))

(dy)/(dx)+y^9x+2y=0

\frac{d y}{d x} + y^{9} x + 2 y = 0

integral of (x^3-3x^2-x+3)

\int (x^{3} - 3 x^{2} - x + 3) d x

y^{''}-5y^'+6y=2et

y^{^{''}} - 5 y^{^{'}} + 6 y = 2 e t

integral from 0 to 1 of x^4e^{3x^5}

\int_{0}^{1} x^{4} e^{3 x^{5}} d x

Frequently Asked Questions (FAQ)

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