methods of solving ODEs

There are many different methods of solving ordinary differential equations. These are tabulated here and divided into sections for linear and non-linear ODEs. These sections are further subdivided into exact, numerical and quantitative methods.

1 Linear ODEs

1.1 Exact methods

• General solution of linear differential equation

• Linear differential equation of first order

• Method of separation of variables

• Method of integrating factors

• Method of undetermined coefficients

• Frobenius’ Method

• Method of Green’s functions

1.2 Numerical methods

• Runge-Kutta method

• Heun method

• Rayleigh-Ritz method

1.3 Quantitative methods

2 Non-linear ODEs

Title	methods of solving ODEs
Canonical name	MethodsOfSolvingODEs
Date of creation	2013-03-22 17:52:02
Last modified on	2013-03-22 17:52:02
Owner	invisiblerhino (19637)
Last modified by	invisiblerhino (19637)
Numerical id	9
Author	invisiblerhino (19637)
Entry type	Topic
Classification	msc 34-00