List of linear ordinary differential equations

This is a list of named linear ordinary differential equations.

A–Z {| class="wikitable sortable" style="text-align: left" |-style="background: #eee" !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

List of nonlinear ordinary differential equations List of nonlinear partial differential equations List of named differential equations

References