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6. (laplace transform) Given Y(t) + a²Y(t) = F(t) with the initial condition Y(0) = 1 and Y'(0) = -2. Determine y(s) = L{Y(t)}

6. (laplace transform) Given Y(t) + a²Y(t) = F(t) with the initial condition Y(0) = 1 and Y'(0) = -2. Determine y(s) = L{Y(t)}

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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6. (laplace transform) Given Y(t) + a²Y(t) = F(t) with the initial condition Y(0) = 1 and Y'(0) = −2. Determine y(s) = L{Y(t)}
Transcribed Image Text:6. (laplace transform) Given Y(t) + a²Y(t) = F(t) with the initial condition Y(0) = 1 and Y'(0) = −2. Determine y(s) = L{Y(t)}
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