(b) Determine the following Laplace transforms: (i) L{cos² 3t}. (ii) L {cos t sin t}. (iii) L{e' cosh t}.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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(b) Determine the following Laplace transforms:
(i) L {cos² 3t}.
(ii) L {cos t sin t}.
(iii) L{e' cosh t}.
Transcribed Image Text:(b) Determine the following Laplace transforms: (i) L {cos² 3t}. (ii) L {cos t sin t}. (iii) L{e' cosh t}.
(a) Show that {e-", re-"} is a fundamental set of solutions of
y" + 2y/ + y = 0
on (0, o0).
[5 marks]
Transcribed Image Text:(a) Show that {e-", re-"} is a fundamental set of solutions of y" + 2y/ + y = 0 on (0, o0). [5 marks]
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