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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
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README.txt (1.4 KB) - Author's notes and file list
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Euler.m (522 B) - Supplemental Mathematica package
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ImprovEuler.m (634 B) - Supplemental Mathematica package
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MidPoint.m (657 B) - Supplemental Mathematica package
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RKsimple.m (882 B) - Supplemental Mathematica package
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leclab01.nb (40.1 KB) - Solutions, direction fields, initial value problems
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leclab02.nb (14 KB) - Separable differential equations
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leclab03.nb (13.8 KB) - Numerical methods for first order ODEs
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leclab04.nb (42.9 KB) - Differential operators, second order linear differential equations
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leclab05.nb (11.4 KB) - Linear, constant coefficient homogeneous differential equations
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leclab06.nb (13.4 KB) - Nonhomogeneous equations
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leclab07.nb (18.5 KB) - Undetermined coefficients
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leclab08.nb (11.3 KB) - Variation of parameters
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leclab09.nb (13.6 KB) - Laplace transforms
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leclab10.nb (18 KB) - Series solutions of differential equations
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leclab11.nb (51 KB) - Bessel functions

Files specific to Mathematica 2.2 version:
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leclab01.ma (25.3 KB) - Solutions, direction fields, initial value problems
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leclab02.ma (9.7 KB) - Separable differential equations
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leclab03.ma (10.6 KB) - Numerical methods for first order ODEs
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leclab04.ma (30.8 KB) - Differential operators, second order linear differential equations
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leclab05.ma (7.9 KB) - Linear, constant coefficient homogeneous differential equations
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leclab06.ma (9.2 KB) - Nonhomogeneous equations
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leclab07.ma (13.2 KB) - Undetermined coefficients
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leclab08.ma (7.9 KB) - Variation of parameters
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leclab09.ma (9.3 KB) - Laplace transforms
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leclab10.ma (11.7 KB) - Series solutions of differential equations
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leclab11.ma (27.1 KB) - Bessel functions