Use the Second Shifting Theorem and Laplace transform to solve the Initial Value Problem: y" — 2y' = f (t), y(0) = −6, y' (0) = 1, where 4, 01 f(t)={ = {4 6,

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 30E
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Use the Second Shifting Theorem and Laplace transform
to solve the Initial Value Problem:
y" — 2y' = f (t),
f(t)={
=
y(0)
y (0) = −6, y' (0)
4, 0<t<1
6, t>1
=
1, where
Transcribed Image Text:Use the Second Shifting Theorem and Laplace transform to solve the Initial Value Problem: y" — 2y' = f (t), f(t)={ = y(0) y (0) = −6, y' (0) 4, 0<t<1 6, t>1 = 1, where
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