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Use the theorem {f(t)} (s) = (-1)n "F( n (s), to show the following equation where F(s) = {f}(s). ds" £{t²y" (t)}(s) = s²Y" (s) + 4sY' (s) + 2Y(s)

Use the theorem {f(t)} (s) = (-1)n "F( n (s), to show the following equation where F(s) = {f}(s). ds" £{t²y" (t)}(s) = s²Y" (s) + 4sY' (s) + 2Y(s)

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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Can you find the values of n and f(t) the given theorem to be used with?

Use the theorem {f(t)} (s) = (-1)n "F( n (s), to show the following equation where F(s) = {f}(s). ds" £{t²y" (t)}(s) = s²Y" (s) + 4sY' (s) + 2Y(s)
Transcribed Image Text:Use the theorem {f(t)} (s) = (-1)n "F( n (s), to show the following equation where F(s) = {f}(s). ds" £{t²y" (t)}(s) = s²Y" (s) + 4sY' (s) + 2Y(s)
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