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## Homework Statement

We have a swinging Pendulum which equation is given by :

The variables κ, λ and μ are positive constants which are characteristic of the swinging system. θ is the Pendulum angular deviation from the equilibrium position. I = inertia moment

**The Question :**

__Solve the equation in 2 cases__

Case 1 : λ=μ=0

Case 2 : λ≠0, μ=0

**The Purpose :**

Use the Solutions to derive a realtion between the eigenfrequency ω

_{0}, damping constant [tex]\gamma[/tex] and angular frequency ω

_{d}for the damping Oscillation.

**2. The attempt at a solution**

Many, and i do not know what to do, because the angular frequency ω = dθ/dt which make the term μ*cos(ω*t) the whole equation into a separable equation ? Iam confused

I need help with this one. A solution to this would be appreciated!

Thanks