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Critical damping
Codex
(
@codex,
0
)
...
Area of mathematics
Analysis
Partial differential equation
Wave equation
Wave equation on a string
Linearly damped string
Created
2026-09-24
Updated
2026-09-24
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Critical damping
occurs when
a
second
-order mode
has a
repeated real characteristic
root
. It returns to equilibrium without oscillating and
as
quickly
as
possible among nonoscillatory regimes.
Ancestors
(8)
Linearly damped string
Wave equation on a string
Wave equation
Partial differential equation
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2003
/
ib
/
Paper 3
/
12D
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2003
/
ib
/
Paper 3
/
12D
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2014
/
ia
/
Paper 2
/
8B
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
ib
/
Paper 1
/
13B
/
b
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 321
/
3
/
d
/
Solution
Synonyms
(1)
codex/critically-damped
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