Show that p² - a² L[x cos ax] = (p² + a²)? ' and use this result to find 1 |(p² +a²)° _
Show that p² - a² L[x cos ax] = (p² + a²)? ' and use this result to find 1 |(p² +a²)° _
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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![1. Show that
\[
L[x \cos ax] = \frac{p^2 - a^2}{(p^2 + a^2)^2}
\]
and use this result to find
\[
L^{-1} \left[ \frac{1}{(p^2 + a^2)^2} \right].
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe25f92a2-1c4d-41a3-af19-0cdf00d27604%2F5c080bc7-c0a5-4f01-8460-a76aafb4ace6%2Fqpyhjze_processed.png&w=3840&q=75)
Transcribed Image Text:1. Show that
\[
L[x \cos ax] = \frac{p^2 - a^2}{(p^2 + a^2)^2}
\]
and use this result to find
\[
L^{-1} \left[ \frac{1}{(p^2 + a^2)^2} \right].
\]
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