Solve the following initial value problem using Laplace transform: d²y dy dt² 11 +28y = 5e-t, y(0) = -1/5, dt Let Y(s) be the Laplace transform of the solution y(t). Then evaluate Y(-1/5) -y(-1/5). Y(-1/5) y(-1/5) = dy dt flt=0 = 7

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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Solve the following initial value problem using Laplace transform:
d²y
dt²
dy
11- +28y = 5e-t, y(0) = -1/5, -| t=0 = 7
dt
dy
dt
Let Y(s) be the Laplace transform of the solution y(t). Then evaluate Y(-1/5) y(-1/5).
Y(-1/5) y(-1/5) =
.
Transcribed Image Text:Solve the following initial value problem using Laplace transform: d²y dt² dy 11- +28y = 5e-t, y(0) = -1/5, -| t=0 = 7 dt dy dt Let Y(s) be the Laplace transform of the solution y(t). Then evaluate Y(-1/5) y(-1/5). Y(-1/5) y(-1/5) = .
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