7. Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms as needed y" + 64y = f(t), y(0) = 0, y'(0) = 1, where Ost

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.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 33E
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7.
Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms as needed
y" + 64y = f(t),
y(0) = 0, y'(0) = 1, where
ost<n
f(t)=
=
tzn
])2(t-[
y(t) =
(cos(8t),
10,
Transcribed Image Text:7. Use the Laplace transform to solve the given initial-value problem. Use the table of Laplace transforms as needed y" + 64y = f(t), y(0) = 0, y'(0) = 1, where ost<n f(t)= = tzn ])2(t-[ y(t) = (cos(8t), 10,
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