Consider the following initial-value problem. у" - Зу' %3D 4e2t - 2е-t, у(0) 3D 1, у'(0) %3D -1 Find L{f(t)}, for f(t) = 4e2t – 2e-t. (Write your answer as a function of s.) L(f(t)) = Use the Laplace transform to solve the given initial-value problem. y(t)

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.
Chapter4: Calculating The Derivative
Section4.5: Derivatives Of Logarithmic Functions
Problem 47E
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Consider the following initial-value problem.

Consider the following initial-value problem.
y" - 3y' = 4e2t – 2e-t, y(0) = 1, y'(0) = -1
Find L{f(t)}, for f(t) = 4e2t – 2e-t. (Write your answer as a function of s.)
L(f(t)) =
Use the Laplace transform to solve the given initial-value problem.
y(t) =
Transcribed Image Text:Consider the following initial-value problem. y" - 3y' = 4e2t – 2e-t, y(0) = 1, y'(0) = -1 Find L{f(t)}, for f(t) = 4e2t – 2e-t. (Write your answer as a function of s.) L(f(t)) = Use the Laplace transform to solve the given initial-value problem. y(t) =
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