(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let ay'' + by' +cy = R(x)

Determining whether a system is under/over/critically damped depends on the size of b^2 compared to 4ac.

Does it depend at all on R(x)?

2. Relevant equations

Characteristic equation, quadratic equation.

3. The attempt at a solution

I've found a general solution to a D.E. where b^2 < 4ac, and is therefore underdamped (if the D.E = 0)

However, I'm not sure if I can still conclude that the system is underdamped if the D.E. = R(x).

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# Homework Help: D.E.s and damped systems

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