• List of linear ordinary differential equations
• List of nonlinear ordinary differential equations
• Ordinary differential equation

*

• Fundamental matrix (linear differential equation)

A

• Abel equation of the first kind
• Abel's identity
• Adams–Williamson equation
• Airy function
• Alekseev–Gröbner formula
• Annihilator method
• Arditi–Ginzburg equations
• Atkinson–Mingarelli theorem
• Autonomous system (mathematics)

B

• Baer function
• Bateman equation
• Bernoulli differential equation
• Binomial differential equation
• Bony–Brezis theorem
• Boundary value problem
• Brusselator
• Burchnall–Chaundy theory

C

• Caratheodory-π solution
• Carathéodory's existence theorem
• Cauchy–Euler equation
• Chandrasekhar–Page equations
• Chandrasekhar's white dwarf equation
• Characteristic equation (calculus)
• Characteristic multiplier
• Chazy equation
• Chebyshev equation
• Chrystal's equation
• Clairaut's equation
• Consumer-resource model
• COPASI

D

• D'Alembert's equation
• Damping
• Duffing equation
• Dynamic simulation

E

• Emden–Chandrasekhar equation
• Euler–Lagrange equation
• Euler's differential equation
• Exact differential equation
• Exponential growth
• Exponential integrator
• Exponential response formula

F

• Finite water-content vadose zone flow method
• Frobenius method
• Frobenius solution to the hypergeometric equation

G

• Generalized hypergeometric function
• Goldbeter–Koshland kinetics
• Green's matrix
• Grönwall's inequality
• Grothendieck–Katz p-curvature conjecture
• Growth curve (statistics)
• Growth elasticity of poverty

H

• Halanay inequality
• Harmonic oscillator
• Heun function
• Hilbert's twenty-first problem
• Hill differential equation
• Holonomic function
• Homogeneous differential equation
• Hypergeometric function

I

• Ince equation
• Inexact differential equation
• Integral curve
• Integrating factor
• Isocline
• Isomonodromic deformation

K

• Kneser's theorem (differential equations)

L

• Lagrange's identity (boundary value problem)
• Lane–Emden equation
• Laser diode rate equations
• Legendre's differential equation
• Libroadrunner
• Liénard equation
• Liñán's equation
• Liouville's formula
• Lommel function
• Lotka–Volterra equations
• Lumped parameter model for the cardiovascular system

M

• Magnus expansion
• Malmquist's theorem
• Manakov system
• Mathieu function
• Matrix differential equation
• Meissner equation
• Method of dominant balance
• Method of undetermined coefficients
• Michaelis–Menten kinetics
• Mingarelli identity
• Monod equation
• Monodromy matrix
• Movable singularity

N

• Node (autonomous system)
• Normal mode
• Numerical methods for ordinary differential equations

O

• ODE/IM correspondence
• Ordered exponential
• Laplace transform applied to differential equations
• Oregonator
• Oscillation theory

P

• Painlevé transcendents
• Parametric oscillator
• Parasitic oscillation
• Peano existence theorem
• PECE
• Perturbation theory
• Phase line (mathematics)
• Phase plane
• Picard–Fuchs equation
• Picard–Lindelöf theorem
• Picone identity
• Power series solution of differential equations

R

• Random generalized Lotka–Volterra model
• Rayleigh–Plesset equation
• Reduction of order
• Regge–Wheeler–Zerilli equations
• Regular singular point
• Riccati equation
• Riemann–Hilbert problem
• Riemann's differential equation

S

• Schwarzian derivative
• Self-oscillation
• Separation of variables
• Siegel G-function
• Soil moisture velocity equation
• Spectral theory of ordinary differential equations
• Spheroidal wave equation
• Sturm separation theorem
• Sturm–Liouville theory
• Sturm–Picone comparison theorem

T

• Thomas–Fermi equation

V

• Van der Pol oscillator
• Variation of parameters

W

• Wronskian

Z

• Zubov's method