Lecture Labs in Ordinary Differential Equations -- from Wolfram Library Archive

Title

Lecture Labs in Ordinary Differential Equations

Author

Steven R. Dunbar

Organization:

University of Nebraska-Lincoln

Department:

Department of Mathematics and Statistics

URL:	http://www.math.unl.edu/~sdunbar/

Old MathSource #

0206-154

Revision date

2000-05-01

Description

Mathematica notebooks for differential equations keyed to the textbook "Fundamentals of Differential Equations, Third Edition" by R. Nagle and E. Saff, Addison-Wesley, Reading, 1993

Subject

Mathematics > Calculus and Analysis > Differential Equations

Keywords

Direction Fields, Initial Value Problems, Differential Equations, Second Order Linear Differential Equations, Linear Constant Coefficient, Homogeneous Differential Equations, Mass-Spring Systems and Resonance, Variation of Parameters, Nonhomogeneous Equat

Downloads

README.txt (1.4 KB) - Author's notes and file list

Euler.m (522 B) - Supplemental Mathematica package

ImprovEuler.m (634 B) - Supplemental Mathematica package

MidPoint.m (657 B) - Supplemental Mathematica package

RKsimple.m (882 B) - Supplemental Mathematica package

leclab01.nb (40.1 KB) - Solutions, direction fields, initial value problems

leclab02.nb (14 KB) - Separable differential equations

leclab03.nb (13.8 KB) - Numerical methods for first order ODEs

leclab04.nb (42.9 KB) - Differential operators, second order linear differential equations

leclab05.nb (11.4 KB) - Linear, constant coefficient homogeneous differential equations

leclab06.nb (13.4 KB) - Nonhomogeneous equations

leclab07.nb (18.5 KB) - Undetermined coefficients

leclab08.nb (11.3 KB) - Variation of parameters

leclab09.nb (13.6 KB) - Laplace transforms

leclab10.nb (18 KB) - Series solutions of differential equations

leclab11.nb (51 KB) - Bessel functions

Files specific to Mathematica 2.2 version:

leclab01.ma (25.3 KB) - Solutions, direction fields, initial value problems

leclab02.ma (9.7 KB) - Separable differential equations

leclab03.ma (10.6 KB) - Numerical methods for first order ODEs

leclab04.ma (30.8 KB) - Differential operators, second order linear differential equations

leclab05.ma (7.9 KB) - Linear, constant coefficient homogeneous differential equations

leclab06.ma (9.2 KB) - Nonhomogeneous equations

leclab07.ma (13.2 KB) - Undetermined coefficients

leclab08.ma (7.9 KB) - Variation of parameters

leclab09.ma (9.3 KB) - Laplace transforms

leclab10.ma (11.7 KB) - Series solutions of differential equations

leclab11.ma (27.1 KB) - Bessel functions