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The initial value problem y" - y" + y' -y = 0, y(0) = 1, y'(0) = 1, y"(0) = 3 is given. If the Laplace transform of y(t) is Y(s), first find Y(s). Then using Y(s) find the solution of the given initial value problem. s2 +3 A. Y(s) = , y(t) = 2e + cost - sint s° - s- +s -1 s2 +3 B. Y(s) = y(t) = 2e - cost - sint s3 - s2 +s -1 s2 -3 C. Y(s) = , y(t) = 2e + cost - sint s - s2 +s - 1 s2 -3 s3 - s? +s - 1 D. Y(s) = y(t) = 2e - cost - sint

The initial value problem y" - y" + y' -y = 0, y(0) = 1, y'(0) = 1, y"(0) = 3 is given. If the Laplace transform of y(t) is Y(s), first find Y(s). Then using Y(s) find the solution of the given initial value problem. s2 +3 A. Y(s) = , y(t) = 2e + cost - sint s° - s- +s -1 s2 +3 B. Y(s) = y(t) = 2e - cost - sint s3 - s2 +s -1 s2 -3 C. Y(s) = , y(t) = 2e + cost - sint s - s2 +s - 1 s2 -3 s3 - s? +s - 1 D. Y(s) = y(t) = 2e - cost - sint

Advanced Engineering Mathematics
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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The initial value problem y" - y" + y' - y = 0, y(0) = 1, y'(0) = 1, y"(0) = 3 is given. If the Laplace transform of y(t) is Y(s), first find Y(s). Then using Y(s) find the solution of the given initial value problem. s2 +3 O A. Y(s) = , y(t) = 2e + cost - sint s3- s +s - 1 s2 +3 B. Y(s) = y(t) = 2e - cost - sint 53- s2 +s - 1 s2 - 3 C. Y(s) = y(t) = 2et + cost - sint s3 - s2 +s - 1 s2 - 3 s3 - s? +s - 1 D. Y(s) =- -, y(t) = 2e - cost - sint
Transcribed Image Text:The initial value problem y" - y" + y' - y = 0, y(0) = 1, y'(0) = 1, y"(0) = 3 is given. If the Laplace transform of y(t) is Y(s), first find Y(s). Then using Y(s) find the solution of the given initial value problem. s2 +3 O A. Y(s) = , y(t) = 2e + cost - sint s3- s +s - 1 s2 +3 B. Y(s) = y(t) = 2e - cost - sint 53- s2 +s - 1 s2 - 3 C. Y(s) = y(t) = 2et + cost - sint s3 - s2 +s - 1 s2 - 3 s3 - s? +s - 1 D. Y(s) =- -, y(t) = 2e - cost - sint
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