What is the solution for (d^2x)/(dt^2)+3(dx)/(dt)+8x=0,x=0,t=0 ?

The solution for (d^2x)/(dt^2)+3(dx)/(dt)+8x=0,x=0,t=0 is x=c_{2}e^{-(3t)/2}sin((sqrt(23)t)/2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(d^2x)/(dt^2)+3(dx)/(dt)+8x=0,x=0,t=0

\frac{d ^{2} x}{d t ^{2}} + 3 \frac{d x}{d t} + 8 x = 0, x = 0, t = 0

x = c_{2} e^{- \frac{3 t}{2}} sin (\frac{23 t}{2})

Solution steps

\frac{d ^{2} x}{d t ^{2}} + 3 \frac{d x}{d t} + 8 x = 0

Solve linear ODE:

x = c_{2} e^{- \frac{3 t}{2}} sin (\frac{23 t}{2})

x = c_{2} e^{- \frac{3 t}{2}} sin (\frac{23 t}{2})

What is the solution for (d^2x)/(dt^2)+3(dx)/(dt)+8x=0,x=0,t=0 ?
The solution for (d^2x)/(dt^2)+3(dx)/(dt)+8x=0,x=0,t=0 is x=c_{2}e^{-(3t)/2}sin((sqrt(23)t)/2)