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1. y'(t) − y(t) = 1, Ans. y(t) = e' - 1 y(0) = 0

1. y'(t) − y(t) = 1, Ans. y(t) = e' - 1 y(0) = 0

Calculus For The Life Sciences
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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Use Laplace Transform to solve the given initial value problem: 1. y'(t) − y(t) = 1, Ans. y(t) = e' -1 2. y'(t) + 6 y(t) = e¹¹, 1 Ans. y(t) = 10 ∙e 4t + 19 10 y(0)=0 -6t e y(0)=2
Transcribed Image Text:Use Laplace Transform to solve the given initial value problem: 1. y'(t) − y(t) = 1, Ans. y(t) = e' -1 2. y'(t) + 6 y(t) = e¹¹, 1 Ans. y(t) = 10 ∙e 4t + 19 10 y(0)=0 -6t e y(0)=2
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