A student has Laplace transformed an ordinary differential equation (ODE) and obtained the following transform: . The
Question:
A student has Laplace transformed an ordinary differential equation (ODE) and obtained the following transform:
.
The following facts are known:
(i) The original ODE had all zero initial conditions.
(ii) Its only Input was sin wt where the radian frequency w =?2.
(a) What can you say about the original ODE? In other words, determine what it was to the maximum extent possible.
(b) Is your result unique? Or are there other possible forms of the ODE that lead to the same Y(s)?
(c) Without finding y(t), what functions of time will be in the solution?
Transcribed Image Text:
Y(s) =+3s + 45 + 6s + 4
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a The Laplace transform provided is We also know that only sin w t is an input ...View the full answer
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Related Book For
Process Dynamics And Control
ISBN: 978-0471000778
2nd Edition
Authors: Dale E. Seborg, Thomas F. Edgar, Duncan A. Mellich
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