8. f(t)=t, g(t) = e'
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Only question no 8 plz solve it correctly I vill upvote
Transcribed Image Text:In Exercises 4-9, use Definition 7.5 to calculate the convolu-
tion of the given functions.
5. f(t) = e¹, g(t) = e²t
7. f(t) = t, g(t) = 3-t
botani
9. f(t) = t², g(t) = e¯¹
4. f(t) = e³t, g(t) = e-2t
6. f(t)=t-1, g(t) = t-2
8. f(t)=t, g(t) = et
21
Transcribed Image Text:DEFINITION 7.5
The convolution of two piecewise continuous functions f and g is the function
f* g defined by
= [ f(u)g(t – u) du.
f*g(t) =
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