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A plant is modelled by the differential equation d² y dy 3 +2 + y = u dt² dt Assume that the initial condition y(0) = 1 and y(0) = 0. Use the Laplace transform to show that Y(s) = U(s) 3s² + 2s +1 3s + 2 + 3s² + 2s+1

A plant is modelled by the differential equation d² y dy 3 +2 + y = u dt² dt Assume that the initial condition y(0) = 1 and y(0) = 0. Use the Laplace transform to show that Y(s) = U(s) 3s² + 2s +1 3s + 2 + 3s² + 2s+1

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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A plant is modelled by the differential equation d² y dy 3 +2 + y = u dt² dt Assume that the initial condition y(0) = 1 and y(0) = 0. Use the Laplace transform to show that Y(s) = U(s) 3s² + 2s +1 3s + 2 + 3s² + 2s+1
Transcribed Image Text:A plant is modelled by the differential equation d² y dy 3 +2 + y = u dt² dt Assume that the initial condition y(0) = 1 and y(0) = 0. Use the Laplace transform to show that Y(s) = U(s) 3s² + 2s +1 3s + 2 + 3s² + 2s+1
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