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University of North Carolina Math 383H Linear Algebra and Differential Equations Spring 2008 |
The photo above is of a German postage stamp featuring G. Leibniz. See http://jeff560.tripod.com/
Course Handouts:
Guide to Solving Differential Equations:
These handouts are in .pdf format. These can be viewed with Adobe Acrobat Reader (freeware available off the web).These are meant as study guides and a supplement to the lecture notes. They are not meant to be a replacement for lecture notes, as I will not be including everything that we cover... especially the more theorectical material. These are largely from previous times I taught this course.
I do not like these notes as much as I once did. I think that they encourage too much memorization which is not the intention. A number of students have found them useful, so I am posting them anyway.
Please let me know if you notice any typos or mistakes in these... even if it is just a grammar mistake or a misspelled word.
First-order ODEs:Linear using an integrating factorSecond-order linear ODEs:
Separable equations
Exact equations
Integrating factors (not covered in your text)
Homogeneous equations with constant coefficientsHigher-order linear ODEs:
Reduction of OrderHomogeneous with constant coefficientsMethod of Undetermined Coefficients
Variation of Parameters
Series Solutions Near an Ordinary Point
Euler Equations
First-Order Homogeneous Systems of Linear Equations with Constant Coefficients