Solve the following initial value problem using Laplace transform: d²y dt² 18 dy where +45y = g(t), y (0) = -1/3, t-o=9, 3 0 < t < 6 6 6 ≤t g (t) Let Y (s) be the Laplace transform of the solution y (t). Then evaluate Y(-1/3) y (-1/3). Y(−1/3) · y (−1/3) =( )

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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Solve the following initial value problem using Laplace transform:
d²y
dt²
18 dy
where
+45y = g(t), y (0) = -1/3, t-o=9,
3 0 < t < 6
6 6 ≤t
g (t)
Let Y (s) be the Laplace transform of the solution y (t). Then evaluate
Y(-1/3) y(-1/3).
Y(−1/3)·y(−1/3)=( )
Transcribed Image Text:Solve the following initial value problem using Laplace transform: d²y dt² 18 dy where +45y = g(t), y (0) = -1/3, t-o=9, 3 0 < t < 6 6 6 ≤t g (t) Let Y (s) be the Laplace transform of the solution y (t). Then evaluate Y(-1/3) y(-1/3). Y(−1/3)·y(−1/3)=( )
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