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  1. Home
  2. Calculus volume 3
  3. Second-order differential

Second-order differential equations

OpenStax OpenStax
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Introduction
Second-order linear equations
1   Homogeneous linear equations
2   Second-order equations with constant coefficients
3   Distinct real roots
4   Single repeated real root
5   Complex conjugate roots
6   Summary of results
7   Initial-value problems and boundary-value problems
8   Key concepts
9   Key equations
Nonhomogeneous linear equations
Applications
1   Simple harmonic motion
2   Damped vibrations
3   Case 1: b 2 > 4 m k
4   Case 2: b 2 = 4 m k
5   Case 3: b 2 < 4 m k
6   Forced vibrations
7   The RLC Series circuit
8   Key concepts
9   Key equations
Series solutions of differential equations

Source:  OpenStax, Calculus volume 3. OpenStax CNX. Feb 05, 2016 Download for free at http://legacy.cnx.org/content/col11966/1.2
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