20 In problems proced and Find the Convolution Fog of given Functions. After integrating Find the Laplace transform of Feg. as example 3. -t FIG₁ = 1,901= e² Biii TOC Evaluate Go to pg. (a) e sint (b) {etsint}. Solution (a) With the identifications AA f(t) =e, g(t) = sint G 1 + nd the and f(r) =e, g(t-T) = sin(t − T), it follows from (2) and integration by parts that et sint= = 0 e sin(t-T) dr le sin(tr) + e cos(t (-sint-cost + e²). P + + ( 9 & A-Z ) + 0 delete י 1
20 In problems proced and Find the Convolution Fog of given Functions. After integrating Find the Laplace transform of Feg. as example 3. -t FIG₁ = 1,901= e² Biii TOC Evaluate Go to pg. (a) e sint (b) {etsint}. Solution (a) With the identifications AA f(t) =e, g(t) = sint G 1 + nd the and f(r) =e, g(t-T) = sin(t − T), it follows from (2) and integration by parts that et sint= = 0 e sin(t-T) dr le sin(tr) + e cos(t (-sint-cost + e²). P + + ( 9 & A-Z ) + 0 delete י 1
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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Transcribed Image Text:20
In problems proced and Find the Convolution
Fog of given Functions. After integrating Find
the Laplace transform of Feg. as example 3.
-t
FIG₁ = 1,901= e²
Transcribed Image Text:Biii
TOC
Evaluate
Go to pg.
(a) e sint
(b) {etsint}.
Solution
(a) With the identifications
AA
f(t) =e, g(t) = sint
G
1
+
nd the
and
f(r) =e, g(t-T) = sin(t − T),
it follows from (2) and integration by parts that
et sint=
=
0
e sin(t-T) dr
le sin(tr) + e cos(t
(-sint-cost + e²).
P
+
+
(
9
&
A-Z
)
+
0
delete
י
1
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