Differential Equations Notes
These are links to PostScript files containing notes for
various topics in differential equations.
- intro.ps (464K, 4 pages):
Introduction to differential equations.
- 1stord.ps (382,730 bytes, 9 pages):
First-order linear equations.
- sepvar.ps (91K, 4 pages):
Separation of variables.
- exist.ps (92K, 2 pages):
Existence and uniqueness for first-order equations.
- onetank.ps (29K, 2 pages):
Tank problems.
- logistic.ps (66K, 2 pages):
Logistic growth.
- exact.ps (44K, 4 pages):
Exact equations and integrating factors.
- homogen.ps (50K, 5 pages):
Homogeneous equations.
- bern-ric.ps (40K, 3 pages):
Bernoulli equations and Riccati equations.
- miscsol.ps (47K, 5 pages):
Review of elementary solution methods.
- constco.ps (69K, 6 pages):
Linear equations with constant coefficients.
- indep.ps (66K, 6 pages):
Linear independence and the Wronskian.
- redord.ps (44K, 4 pages):
Reduction of order.
- undet.ps (65K, 7 pages):
Undetermined coefficients.
- varparam.ps (52K, 4 pages):
Variation of parameters.
- 2ndord.ps (43K, 3 pages):
Review of second-order equation solution methods.
- series.ps (38K, 3pages):
Review of Taylor series.
- ser-ord.ps (146K, 11 pages):
Series solutions - ordinary points.
- regsing.ps (49K, 2 pages):
Regular singular points.
- eulereq.ps (32K, 2 pages):
Euler equations.
- sersing.ps (37K, 2 pages):
Series solutions at regular singular points.
- revser.ps (40K, 4 pages):
Review of series solutions.
- laplace.ps (113K, 5 pages):
Laplace transforms.
- initval.ps (58K, 5 pages):
Inverse transforms and initial value problems;
Laplace transform table.
- step.ps (117K, 5 pages):
Step functions.
- convol.ps (160K, 6 pages):
Convolutions.
- laprev.ps (45K, 4 pages):
Review of Laplace transforms.
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Last updated: June 13, 2005
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Copyright 1998 by Bruce Ikenaga