Ordinary Differential Equations

URI: https://gptkb.org/entity/Ordinary_Differential_Equations

GPTKB entity

Statements (90)

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:abbreviation	gptkb:ODE
gptkbp:contrastsWith	Partial Differential Equations
gptkbp:hasApplication	gptkb:astronomy gptkb:classical_mechanics gptkb:medicine control theory epidemiology finance fluid dynamics heat transfer quantum mechanics population dynamics chemical reactions electrical circuits mechanical vibrations
gptkbp:hasFamousEquation	gptkb:logistic_equation gptkb:Lorenz_system gptkb:FitzHugh-Nagumo_model gptkb:Kepler's_laws gptkb:SIR_model gptkb:Airy_equation gptkb:Bernoulli_equation gptkb:Bessel's_equation gptkb:Brusselator gptkb:Brusselator_model gptkb:Cauchy-Euler_equation gptkb:Duffing_equation gptkb:FitzHugh-Nagumo_equations gptkb:Legendre's_equation gptkb:Liénard_equation gptkb:Logistic_map gptkb:Lorenz_equations gptkb:Lotka-Volterra_equations gptkb:Lotka-Volterra_predator-prey_model gptkb:Malthusian_growth_model gptkb:Michaelis-Menten_equation gptkb:Michaelis-Menten_kinetics gptkb:Newton's_law_of_cooling gptkb:Newton's_second_law_(for_1D_motion) gptkb:Riccati_equation gptkb:Schrödinger_equation_(time-dependent,_1D) gptkb:Verhulst_equation gptkb:Verhulst_logistic_equation gptkb:simple_harmonic_oscillator gptkb:van_der_Pol_equation gptkb:Hill_equation gptkb:Van_der_Pol_oscillator Black-Scholes equation (in some forms) Damped oscillator equation Forced oscillator equation LRC circuit equation Logistic growth equation Population growth equation Predator-prey equations RC circuit equation RL circuit equation RLC circuit equation Radioactive decay equation Resistor-capacitor circuit equation Resistor-inductor circuit equation Resistor-inductor-capacitor circuit equation SIRS model SIS model exponential growth and decay pendulum equation
gptkbp:hasType	homogeneous ODE linear ODE nonhomogeneous ODE nonlinear ODE
https://www.w3.org/2000/01/rdf-schema#label	Ordinary Differential Equations
gptkbp:order	second order first order higher order
gptkbp:solvedBy	gptkb:Runge-Kutta_methods gptkb:Laplace_transform gptkb:Euler's_method analytical methods numerical methods power series separation of variables integrating factor variation of parameters
gptkbp:studies	functions of one independent variable
gptkbp:usedIn	biology economics engineering physics
gptkbp:bfsParent	gptkb:Lev_Pontryagin
gptkbp:bfsLayer	5