Power Series - University of Washington
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Laplace Transform 6.1 Power Series 0 n 2 an X Atx n o Acn x Atx Acn An A 0 1 2,3 EI Acn I x It x 1 2 1 3 1 Atx for 1 1 1 am n if Axt t t Atx ex for all XER Continuous analogue h O l 2 3 mis t Zo Aln fft a Ei So n o E.io anxn Atx fffit xtdt Fox
Transcript of Power Series - University of Washington
Laplace Transform 6.1
Power Series0 n2 an X Atxn o
Acn x Atx Acn An A 0 1 2,3
EI Acn I x It x 1 21 3 1
Atx for 1 1 1
am n if Axt t t
Atx ex for all XER
Continuous analogue
h O l 2 3 mis t Zo
Aln ffta
Ei Son o
E.ioanxn Atx fffit xtdt Fox
Xt een It eGenx t S't
e lax S
Laplace Transform
for all s sitJeff it e Stolt Fls L fHI the integral is defined
Aside Fourier transformfCt Flw Effete
i wt
t time w frequency
Applications of Laplace transform
Solving diff egn's
Probability
L probability distributionfunction
moment generating function
Statistical Physics
I densityof statefunction Epartition function
