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0:16:32

Homogeneous Systems of DE's with Repeated Eigenvalues

0:34:47

Homogeneous Systems of DE's with Real, Distinct Eigenvalues

0:12:25

Systems of DEs in Matrix Form

0:14:53

Solving Systems of DE's Using Laplace Transforms

0:14:05

The Dirac Delta Function

0:09:59

The Laplace Transform of Periodic Functions

0:12:38

Introduction to Convolution

0:25:15

Convolutions Without Calculus

0:10:51

Derivatives of Laplace Transforms

0:27:17

Special Functions: Bessel Functions of the First and Second Kind

0:20:25

Series Solutions about Singular Points

0:18:09

LaplaceTransforms: Translations on the t-axis

0:13:20

Laplace Transforms: Translations on the s-axis

0:16:41

Laplace Transforms of Derivatives

0:10:34

Inverse Laplace Transforms

0:25:44

The Definition of the Laplace Transform

0:30:16

Power Series Solutions about Ordinary Points

0:19:45

Review of Power Series

0:19:28

Nonlinear Models Using ODE's

0:25:10

Linear Models: BVP's

0:07:10

Spring/Mass Systems: Driven Motion

0:13:49

Damped Spring/Mass Systems

0:17:30

Spring/Mass Problems: Free,Undamped

0:28:53

Solving Systems of DE's Using Elimination