3. Show that (8 – a) + ib (8 – a)² + b² ' L{ela+ib)t} Applying Euler's formula, deduce 8 - a L{et cos(bt)} and L{et sin(bt)} (8 – a)? + b2 (8 – a)? + b2
3. Show that (8 – a) + ib (8 – a)² + b² ' L{ela+ib)t} Applying Euler's formula, deduce 8 - a L{et cos(bt)} and L{et sin(bt)} (8 – a)? + b2 (8 – a)? + b2
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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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Transcribed Image Text:3. Show that
(8 – a) + ib
(8 – a)? + b2*
L{ela+ib)t } =
Applying Euler's formula, deduce
8 - a
L{et cos(bt)}
and L{et sin(bt)} =
(s – a)2 + b2
(s – a)2 + 62
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