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Ordinary Differential Equations 
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#1
Feb1106, 03:18 PM

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http://www.math.ohiostate.edu/~gerl.../BVtypset.html
LINEAR MATHEMATICS IN INFINITE DIMENSIONS Signals, Boundary Value Problems and Special Functions U. H. Gerlach Date: March 2004  Differential Equations (Math 3401/3301) http://tutorial.math.lamar.edu/AllBr.../3401/3401.asp  Computational Science Education Project  ODE's http://csep1.phy.ornl.gov/CSEP/ODE/ODE.html 


#2
Oct2107, 12:48 PM

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P: 21,869

The second link above is old and one will get redirected. Here is the complete document on Differential Equations.
http://tutorial.math.lamar.edu/pdf/DE/DE_Complete.pdf or online: http://tutorial.math.lamar.edu/classes/de/de.aspx 


#3
Oct2507, 04:43 AM

P: 91

Great link and thanks for the time you put in to find them.



#4
Oct2507, 10:14 PM

P: 120

Ordinary Differential Equations
very interesting. thank you



#5
Oct3007, 06:40 PM

P: 3

First off, this is a great link! Thanks for posting!
Second, I'm working on Power Series Methods, Frobenius series, etc., and I'm looking for any help/links on that. I didn't see any on Paul's site. Might be hidden or is there another site that would cover these topics? Thanks! 


#6
Jan2609, 12:15 AM

P: 2,066

I noticed this link in the bottom of one Wikipedia page about Floquet's theorem:
http://www.mat.univie.ac.at/~gerald/ftp/bookode/ 


#7
Jun2809, 09:24 PM

P: 3

http://ocw.mit.edu/OcwWeb/Mathematic...Home/index.htm
It's the MIT course website for ODE. The link for the Honours ODE course is this one: http://ocw.mit.edu/OcwWeb/Mathematic...Home/index.htm The MIT OpenCourseWare webpage is a great resource for free online course materials for ALL the undergrad courses they offer. 


#8
Aug2109, 05:30 PM

P: 723

EDIT: this post merged from separate thread by Redbelly98
Here is a link to Paul Dawkins online notes. http://tutorial.math.lamar.edu/Classes/DE/DE.aspx Thanks Matt 


#9
Sep809, 07:23 PM

P: 717

Just want to post these here:
Very slick videos on DE's (thanks to Keesjan) http://www.math.armstrong.edu/faculty/hollis/ 


#10
Nov2412, 07:51 PM

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P: 21,869

http://ocw.mit.edu/1803S06
Differential Equations As taught in: Spring 2010 http://ocw.mit.edu/courses/mathemati...rsematerials/ Differential Equations (2006) http://dspace.mit.edu/bitstream/hand...htm?sequence=4 Professor Arthur Mattuck Lec 1  MIT 18.03 Differential Equations, Spring 2006 The Geometrical View of y'=f(x,y): Direction Fields, Integral Curves. http://www.youtube.com/watch?v=XDhJ8lVGbl8 Lec 2  MIT 18.03 Differential Equations, Spring 2006 Euler's Numerical Method for y'=f(x,y) and its Generalizations http://www.youtube.com/watch?v=LbKKzMag5Rc Lec 3  MIT 18.03 Differential Equations, Spring 2006 Solving Firstorder Linear ODE's; Steadystate and Transient Solutions http://www.youtube.com/watch?v=tVzaX9u6YAE Lec 4  MIT 18.03 Differential Equations, Spring 2006 Firstorder Substitution Methods: Bernouilli and Homogeneous ODE's http://www.youtube.com/watch?v=WBJ_iXudbs Lec 5  MIT 18.03 Differential Equations, Spring 2006 Firstorder Autonomous ODE's: Qualitative Methods, Applications http://www.youtube.com/watch?v=te6Mplq3DCU Lec 6  MIT 18.03 Differential Equations, Spring 2006 Complex Numbers and Complex Exponentials http://www.youtube.com/watch?v=EQJBp6Ym6A Lec 7  MIT 18.03 Differential Equations, Spring 2006 Firstorder Linear with Constant Coefficients: Behavior of Solutions, Use of Complex Methods. http://www.youtube.com/watch?v=SioXozuLoo Lec 8  MIT 18.03 Differential Equations, Spring 2006 Continuation; Applications to Temperature, Mixing, RCcircuit, Decay, and Growth Models. http://www.youtube.com/watch?v=MdzfsfBNJIw Lec 9  MIT 18.03 Differential Equations, Spring 2006 Solving Secondorder Linear ODE's with Constant Coefficients: The Three Cases http://www.youtube.com/watch?v=vPoRQqmeg4 Lec 10  MIT 18.03 Differential Equations, Spring 2006 Continuation: Complex Characteristic Roots; Undamped and Damped Oscillations. http://www.youtube.com/watch?v=YQ7HEE8OfA Lec 11  MIT 18.03 Differential Equations, Spring 2006 Theory of General Secondorder Linear Homogeneous ODE's: Superposition, Uniqueness, Wronskians. http://www.youtube.com/watch?v=rZ3nFV6l8w Lec 12  MIT 18.03 Differential Equations, Spring 2006 Continuation: General Theory for Inhomogeneous ODE's. Stability Criteria for the Constantcoefficient ODE's. http://www.youtube.com/watch?v=eyNm7XGJr4s Lec 13  MIT 18.03 Differential Equations, Spring 2006 Finding Particular Solution to Inhomogeneous ODE's: Operator and Solution Formulas Involving Exponentials. http://www.youtube.com/watch?v=9KbpbBMThTE Lec 14  MIT 18.03 Differential Equations, Spring 2006 Interpretation of the Exceptional Case: Resonance http://www.youtube.com/watch?v=Y9_zrupnz0Q Lec 15  MIT 18.03 Differential Equations, Spring 2006 Introduction to Fourier Series; Basic Formulas for Period 2(pi). http://www.youtube.com/watch?v=EWWw0jryj1A Lec 16  MIT 18.03 Differential Equations, Spring 2006 Continuation: More General Periods; Even and Odd Functions; Periodic Extension. http://www.youtube.com/watch?v=xWa5_OXI6VM Lec 17  MIT 18.03 Differential Equations, Spring 2006 Finding Particular Solutions via Fourier Series; Resonant Terms; Hearing Musical Sounds. http://www.youtube.com/watch?v=yD0_EQLxHcw Lec 19  MIT 18.03 Differential Equations, Spring 2006 Introduction to the Laplace Transform; Basic Formulas. http://www.youtube.com/watch?v=sZ2qulI6GEk Lec 20  MIT 18.03 Differential Equations, Spring 2006 Derivative Formulas; Using the Laplace Transform to Solve Linear ODE's http://www.youtube.com/watch?v=qZHseRxAWZ8 Lec 21  MIT 18.03 Differential Equations, Spring 2006 Convolution Formula: Proof, Connection with Laplace Transform, Application to Physical Problems. http://www.youtube.com/watch?v=3ejfkMHr_DE Lec 22  MIT 18.03 Differential Equations, Spring 2006 Using Laplace Transform to Solve ODE's with Discontinuous Inputs http://www.youtube.com/watch?v=_YVcjNmjHik Lec 23  MIT 18.03 Differential Equations, Spring 2006 Use with Impulse Inputs; Dirac Delta Function, Weight and Transfer Functions. http://www.youtube.com/watch?v=peYvLk_HZdw Lec 24  MIT 18.03 Differential Equations, Spring 2006 Introduction to Firstorder Systems of ODE's; Solution by Elimination, Geometric Interpretation of a System. http://www.youtube.com/watch?v=MCrDzhpu3s Lec 25  MIT 18.03 Differential Equations, Spring 2006 Homogeneous Linear Systems with Constant Coefficients: Solution via Matrix Eigenvalues (Real and Distinct Case). http://www.youtube.com/watch?v=heBvViSi9xQ Lec 26  MIT 18.03 Differential Equations, Spring 2006 Continuation: Repeated Real Eigenvalues, Complex Eigenvalues. http://www.youtube.com/watch?v=hEtWqTPPXuc Lec 27  MIT 18.03 Differential Equations, Spring 2006 Sketching Solutions of 2x2 Homogeneous Linear System with Constant Coefficients (some review of linear algebra, characteristic equation and eigenvalues, and discussion of stability) http://www.youtube.com/watch?v=e3FfmXtkppM http://www.math.harvard.edu/archive/...ces/index.html Lec 28  MIT 18.03 Differential Equations, Spring 2006 Matrix Methods for Inhomogeneous Systems: Theory, Fundamental Matrix, Variation of Parameters. http://www.youtube.com/watch?v=2SuTN8rpe4I Lec 29  MIT 18.03 Differential Equations, Spring 2006 Matrix Exponentials; Application to Solving Systems http://www.youtube.com/watch?v=zreI4HllD80 Lec 30  MIT 18.03 Differential Equations, Spring 2006 Decoupling Linear Systems with Constant Coefficients http://www.youtube.com/watch?v=uNOyxQwIV8o Lec 31  MIT 18.03 Differential Equations, Spring 2006 Nonlinear Autonomous Systems: Finding the Critical Points and Sketching Trajectories; the Nonlinear Pendulum. http://www.youtube.com/watch?v=UJG0f0BSX14 Lec 32  MIT 18.03 Differential Equations, Spring 2006 Limit Cycles: Existence and Nonexistence Criteria. http://www.youtube.com/watch?v=zmeBrqcy_I Lec 33  MIT 18.03 Differential Equations, Spring 2006 Relation Between Nonlinear Systems and Firstorder ODE's; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle. http://www.youtube.com/watch?v=kRR9EVzr4lc 


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