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Homework Statement
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)?
Homework Equations
Characteristic equation, quadratic equation.
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).