A.) Use a change of variables to generate expressions for 6 (t-t) and 6(w-wo) B. ) Use the expressions you just derived to show that & (t-t)=6(t-t) and S(w-wo)=6(wo-w) C.) Using your integral representations for 6, show that the following are Fourier pairs e^jwot<>2pi8(w-wo) 2pi6(t-to)<>e^jwT

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A.) Use a change of variables to generate expressions for 6 (t-t) and 6(w-wo)
B. ) Use the expressions you just derived to show that & (t-t)=6(t-t) and
S(w-wo)=6(wo-w)
C.) Using your integral representations for 6, show that the following are Fourier
pairs
e^jwot<>2pi8(w-wo)
2pi6(t-to)<>e^jwT
Transcribed Image Text:A.) Use a change of variables to generate expressions for 6 (t-t) and 6(w-wo) B. ) Use the expressions you just derived to show that & (t-t)=6(t-t) and S(w-wo)=6(wo-w) C.) Using your integral representations for 6, show that the following are Fourier pairs e^jwot<>2pi8(w-wo) 2pi6(t-to)<>e^jwT
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