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University of Utah Constant Coefficient Systems of ODEs and Phase Portraits

Aug 31, 2021 | MATHEMATICS | 0 comments

Aug 31, 2021 | MATHEMATICS | 0 comments

University of Utah Constant Coefficient Systems of ODEs and Phase Portraits

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Reference Documents:

For most topics: www.math.utah.edu/~gustafso/2250systems-de.pdf (Links to an external site.)Links to an external site.
For RLC Circuits: Use Trench 6.3. Avoid Lebl, as his version is harder to interpret.
For many topics, especially Chemical Kinematics, Pond Pollution, Predator-Prey: http://people.uncw.edu/hermanr/mat361/ODEBook/ (Links to an external site.)Links to an external site. Chapter 6
For Chemical Kinetics: https://pubs.acs.org/doi/pdf/10.1021/ed069p278 (Links to an external site.)Links to an external site. (Probably need to be on-campus or to VPN onto UNH network.)
For Population of Competing Species: Trench Problem 10.4.42.

Computational Resources:

Computer_Aid_Examples_for_Project.pdf
Graphing

Desmos.com

Plotting Trajectories of Linear Systems

http:// mathlets.org/mathlets/linear-phase-portraits-matrix-entry/ (Links to an external site.)Links to an external site.
http://parasolarchives. com/tools/phaseportrait (Links to an external site.)Links to an external site.

Solving Linear Systems

Wolframalpha.com

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