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Math 2552 DDifferentialEquationsGaTech Spring 2017
Linear Nonautonomous Equation
Open systems: what happens when therules for evolution change in time?
Variation of Parameters
has fundamental matrix
If
Then
has solution
has fundamental matrix
Solve
Solve
Zut alors!
Why not change diffeq to algebra? Oh ho ho!-Pierre-Simon, Marquis de Laplace
The Laplace Transform
Change bases on the vector space of funtionsfrom time domain to frequency domain.
Linear Operator