What is the solution for θ^{''}(t)+a/b*θ(t)=0 ?

The solution for θ^{''}(t)+a/b*θ(t)=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

Popular >

θ^{''}(t)+a/b*θ(t)=0

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

y^{^{''}} - 4 y = 0, y (0) = 0, y^{^{'}} (0) = 3

y^{^{'''}} - 7 y^{^{''}} + y^{^{'}} - 7 y = 0

y^{^{''}} - (2 α - 3) y^{^{'}} + α (α - 3) y = 0

y^{^{''}} + 9 y^{^{'}} + 12 y = 0

3 y^{^{''}} - 16 y^{^{'}} + 13 y = 0

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