y"+y= cost 0 if 0 ≤ t < π if + > T t " y(0) = 2, y'(0) = 0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 11E
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Hi, can I get some help with this Differential Equations problem?

  • Use Laplace transform and partial fraction decomposition to solve the initial value problem.
  • Express y as a piecewise function of the form y = [] if 0 <= t < pi, [] if t >= pi

Thank you!

y" + y =
cos t
0,
if 0 < t < π
ift Σπ
y(0) = 2, y'(0) = 0.
Transcribed Image Text:y" + y = cos t 0, if 0 < t < π ift Σπ y(0) = 2, y'(0) = 0.
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