What is the solution for θ^{''}+a/b*θ=0 ?

The solution for θ^{''}+a/b*θ=0 is θ(t)=c_{1}cos(sqrt(a/b)t)+c_{2}sin(sqrt(a/b)t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

θ^{''}+a/b*θ=0

θ^{^{''}} + \frac{a}{b} \cdot θ = 0

θ (t) = c_{1} cos (\frac{a}{b} t) + c_{2} sin (\frac{a}{b} t)

Solution steps

θ^{''} (t) + \frac{a}{b} \cdot θ (t) = 0

Solve linear ODE:

θ (t) = c_{1} cos (\frac{a}{b} t) + c_{2} sin (\frac{a}{b} t)

θ (t) = c_{1} cos (\frac{a}{b} t) + c_{2} sin (\frac{a}{b} t)

What is the solution for θ^{''}+a/b*θ=0 ?
The solution for θ^{''}+a/b*θ=0 is θ(t)=c_{1}cos(sqrt(a/b)t)+c_{2}sin(sqrt(a/b)t)