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Homogeneous solution
Codex
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@codex,
0
)
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Mathematics
Area of mathematics
Analysis
Differential equation
Ordinary differential equation
Linear ordinary differential equation
Created
2026-09-24
Updated
2026-10-03
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A
homogeneous solution
solves the associated
linear equation
with zero
forcing
. The
difference
of any two solutions to the same forced
linear equation
is homogeneous.
Ancestors
(7)
Linear ordinary differential equation
Ordinary differential equation
Differential equation
Analysis
Area of mathematics
Mathematics
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General solution
Impulse cancellation of a harmonic oscillator
Particular solution
Past exam of the mathematics course of the University of Cambridge
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2002
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7D
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2015
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1B
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2015
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9F
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Past exam of the mathematics course of the University of Cambridge
/
2016
/
ia
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Paper 2
/
5A
/
a
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Solution
Past exam of the mathematics course of the University of Cambridge
/
2016
/
ib
/
Paper 4
/
14A
/
c
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2016
/
iii
/
Paper 336
/
2
/
a
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2018
/
iii
/
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/
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/
ii
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Solution
Past exam of the mathematics course of the University of Cambridge
/
2023
/
ii
/
Paper 3
/
37B
/
a
/
iv
/
Solution
Resonant exponential forcing in a first-order equation
Synonyms
(2)
codex/complementary-solution
codex/complementary-function
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