List of linear ordinary differential equations

This is a list of named linear ordinary differential equations.

A–Z

Name Order Equation Applications
Airy 2 Optics
Bessel 2 Wave propagation
Cauchy-Euler n
Chebyshev 2 Orthogonal polynomials
Damped harmonic oscillator 2 Damping
Frenet-Serret 1 Differential geometry
General Laguerre 2 Hydrogen atom
General Legendre 2
Harmonic oscillator 2 Simple harmonic motion
Heun 2
Hill 2 , (f periodic) Physics
Hypergeometric 2
Kummer 2
Laguerre 2
Legendre 2 Orthogonal polynomials
Matrix 1
Picard-Fuchs 2 Elliptic curves
Riemann 2
Quantum harmonic oscillator 2 Quantum mechanics
Sturm-Liouville 2 Applied mathematics

See also

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