Let f * g denote the convolution of f with g. Then et * et = Answers: (A) tet (B) e2t (C) et - 1 (D) e²t - 1 (E) None of the above.
Let f * g denote the convolution of f with g. Then et * et = Answers: (A) tet (B) e2t (C) et - 1 (D) e²t - 1 (E) None of the above.
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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![Let f * g denote the convolution of f with g. Then et * et =
Answers:
(A) tet
(B) €2t
(C) et - 1
(D) e²t - 1
(E) None of the above.
Let 8(x) denote the Dirac delta function and let ue(r) denote the Heaviside unit step function.
Then
Answers:
(A)
(B)
(C)
=
(D)
=
=
1 1
e
e
+
1
= +
e
Je=²415 (1
0
1
ezti
(E) None of the above.
t [8 (t-1) + u₂ (t) + 8 (t+1)] dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F099d88f0-6540-416c-ac6e-200ba65e8a02%2F28a04f6c-997b-4e08-8214-c9308956cf9e%2Fw8xftk_processed.png&w=3840&q=75)
Transcribed Image Text:Let f * g denote the convolution of f with g. Then et * et =
Answers:
(A) tet
(B) €2t
(C) et - 1
(D) e²t - 1
(E) None of the above.
Let 8(x) denote the Dirac delta function and let ue(r) denote the Heaviside unit step function.
Then
Answers:
(A)
(B)
(C)
=
(D)
=
=
1 1
e
e
+
1
= +
e
Je=²415 (1
0
1
ezti
(E) None of the above.
t [8 (t-1) + u₂ (t) + 8 (t+1)] dt
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