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== The Laplace Transform turns a given function f = f(t) into a new function F = F(8) by way of an improper integral: F(s) = √ e™" f(t) dt. est Suppose f(t)=8t - 10. 8 (a) Find the set of real numbers & for which the improper integral defining F(s) converges. Answer in interval notation. (To enter co, type "inf"; for-oo, type "-inf".) Answer: (2s+8)/s^2 (b) Find a simple formula for F(s), valid on the interval described in part (a). Answer: F(s) (2s+8)/s^2 =

== The Laplace Transform turns a given function f = f(t) into a new function F = F(8) by way of an improper integral: F(s) = √ e™" f(t) dt. est Suppose f(t)=8t - 10. 8 (a) Find the set of real numbers & for which the improper integral defining F(s) converges. Answer in interval notation. (To enter co, type "inf"; for-oo, type "-inf".) Answer: (2s+8)/s^2 (b) Find a simple formula for F(s), valid on the interval described in part (a). Answer: F(s) (2s+8)/s^2 =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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== The Laplace Transform turns a given function f = f(t) into a new function F = F(8) by way of an improper integral: F(s) = √ e™" f(t) dt. est Suppose f(t)=8t - 10. 8 (a) Find the set of real numbers & for which the improper integral defining F(s) converges. Answer in interval notation. (To enter co, type "inf"; for-oo, type "-inf".) Answer: (2s+8)/s^2 (b) Find a simple formula for F(s), valid on the interval described in part (a). Answer: F(s) (2s+8)/s^2 =
Transcribed Image Text:== The Laplace Transform turns a given function f = f(t) into a new function F = F(8) by way of an improper integral: F(s) = √ e™" f(t) dt. est Suppose f(t)=8t - 10. 8 (a) Find the set of real numbers & for which the improper integral defining F(s) converges. Answer in interval notation. (To enter co, type "inf"; for-oo, type "-inf".) Answer: (2s+8)/s^2 (b) Find a simple formula for F(s), valid on the interval described in part (a). Answer: F(s) (2s+8)/s^2 =
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