Find the inverse laplace of the following: s+1 3. L¹ { S² + 4s +6 4. [¹ e-38 е a Ans. F(1) = e^2(1-3) cos√2 (1-3)——sin √2 (1-3) (-3) [8s² − 4s+12 - -S "} S + 4s Ans. F(t) = [3+5 cos2 (t-1)-2 sin 2(t-1)] a(t-1) e
Find the inverse laplace of the following: s+1 3. L¹ { S² + 4s +6 4. [¹ e-38 е a Ans. F(1) = e^2(1-3) cos√2 (1-3)——sin √2 (1-3) (-3) [8s² − 4s+12 - -S "} S + 4s Ans. F(t) = [3+5 cos2 (t-1)-2 sin 2(t-1)] a(t-1) e
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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TOPIC: UNIT STEP FUNCTION AND SECOND SING THEOREM!
![Find the inverse laplace of the following:
3. L-¹
[²¹{$+16°
-3s
S + 4s +6
Ans. F(1) = -)[cos √2 (1-3) --— sin √2 (1-3) (1-3
-2 (1-3)
e
a(t-3)
4. [¹
8s² - 4s +12 -S
S + 4s
Ans. F(t) = [3+5cos2 (t−1) – 2 sin 2(t-1)] a(t-1)
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d4c298c-78b9-44d2-ad15-209410fcb331%2Fccaf750e-b423-4116-b355-94f6c6b441d2%2F8fne5k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find the inverse laplace of the following:
3. L-¹
[²¹{$+16°
-3s
S + 4s +6
Ans. F(1) = -)[cos √2 (1-3) --— sin √2 (1-3) (1-3
-2 (1-3)
e
a(t-3)
4. [¹
8s² - 4s +12 -S
S + 4s
Ans. F(t) = [3+5cos2 (t−1) – 2 sin 2(t-1)] a(t-1)
-
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