Mathematical Notes for Differential Equations

Last revised 28 OCT 2010, by JMB
Maybe you really want the index page instead.

All these notes are available in both DVI and PDF formats.

Notes for 110.302 Differential Equations

First Order Linear Differential Equations (2 pages) An example is solved using the method of variation of a parameter. This is claimed to be cleaner and easier than the standard approaches, and involves no guesswork. Available in your choice of:
- First Order Lin, in DVI format or
- First Order Lin, in PDF format.
Basic Laplace Transforms (1 page) Available in your choice of:
- Laplace Transforms, in DVI format or
- Laplace Transforms, in PDF format.
Linear System: Distinct Real Roots (1 page) A linear system with constant coefficients whose auxiliary equation has distinct real roots is solved using Laplace transforms. Available in your choice of:
- Distinct Real Roots, in DVI format or
- Distinct Real Roots, in PDF format.
Linear System: Repeated Real Root (1 page) A linear system with constant coefficients whose auxiliary equation has a repeated real root is solved using Laplace transforms. Available in your choice of:
- Repeated Real Roots, in DVI format or
- Repeated Real Roots, in PDF format.
Linear System: Complex Roots (2 pages) A linear system with constant coefficients whose auxiliary equation has complex roots is solved, first by the traditional method, and second by Laplace transforms. The second uses no complex numbers. Available in your choice of:
- Complex Roots, in DVI format or
- Complex Roots, in PDF format.