Consider the integral equation: f(t) - 35e-17t = 19t ² - L' sen( sen(t - u)f(u)du By applying the Laplace transform to both sides of the above equation, it is obtained that the numerator of the function F(s) is of the form (a₂s² + a₁s + ao) (s² + 1), where F(s) = L {f(t)} then the value of an is equal to:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the integral equation:
f(t) - 35e-17t = 19t ²
- L' sen(
sen(t - u)f(u)du
By applying the Laplace transform to both sides of the above equation, it is obtained that
the numerator of the function F(s) is of the form (a₂s² + a₁s + ao) (s² + 1), where
F(s) = L {f(t)} then the value of an is equal to:
Transcribed Image Text:Consider the integral equation: f(t) - 35e-17t = 19t ² - L' sen( sen(t - u)f(u)du By applying the Laplace transform to both sides of the above equation, it is obtained that the numerator of the function F(s) is of the form (a₂s² + a₁s + ao) (s² + 1), where F(s) = L {f(t)} then the value of an is equal to:
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