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Using Malmstén's formula show that 1 - log s - s + 1 log I(s) = (s , log (27) + w(s), where 1 + ex - 1 w(s) = dx 2 for any s > 0.

Using Malmstén's formula show that 1 - log s - s + 1 log I(s) = (s , log (27) + w(s), where 1 + ex - 1 w(s) = dx 2 for any s > 0.

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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Using Malmstén's formula show that log r'(s) = (s log s – s+ log (27) + w(s), (두-)- where 00 e¯sx dx 1 w(s) = 2 ex for any s > 0.
Transcribed Image Text:Using Malmstén's formula show that log r'(s) = (s log s – s+ log (27) + w(s), (두-)- where 00 e¯sx dx 1 w(s) = 2 ex for any s > 0.
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