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Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: y" +9y= = = Y(s) Next take the inverse transform of Y(s) to get = Note: (sin(#t), 0

Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: y" +9y= = = Y(s) Next take the inverse transform of Y(s) to get = Note: (sin(#t), 0

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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Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: y" +9y= = = Y(s) Next take the inverse transform of Y(s) to get = Note: sin(at), 0≤t<1 0, 1<t y(t) Use step(t-c) for uc(t) ㅠ (s² + π²) (s² +9) || y(0) = 0, y'(0) = 0- 1 π 1 2²²9 ( 3² +9-2²+x²) πT²
Transcribed Image Text:Take the Laplace transform of the following initial value and solve for Y(s) = L{y(t)}: y" +9y= = = Y(s) Next take the inverse transform of Y(s) to get = Note: sin(at), 0≤t<1 0, 1<t y(t) Use step(t-c) for uc(t) ㅠ (s² + π²) (s² +9) || y(0) = 0, y'(0) = 0- 1 π 1 2²²9 ( 3² +9-2²+x²) πT²
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