Question 3: Consider the initial value problem y" – 16y = sin(5t), y(0) = –1, y'(0) = 2. Evaluate L {sin(5t)} using the definition of the Laplace transform. Use the Laplace transform to solve the given IVP.

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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Question 3: Consider the initial value problem
y" – 16y = sin(5t), y(0) = -1,
y' (0) = 2.
Evaluate L {sin(5t)} using the definition of the Laplace transform.
Use the Laplace transform to solve the given IVP.
Transcribed Image Text:Question 3: Consider the initial value problem y" – 16y = sin(5t), y(0) = -1, y' (0) = 2. Evaluate L {sin(5t)} using the definition of the Laplace transform. Use the Laplace transform to solve the given IVP.
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