13. Show that (a) (b) f x²s+¹e-ax² dx = x²se-ax² dx = s! 2as+1; (s — 1/1 ) ! 2a³+1/2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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13. Show that
=
(a) fo x²s+¹e-ax² dx
(b) 1.00 x²se-ax² dx =
s!
2as+1'
(s - 1/2 ) !
2a³+1/2
Transcribed Image Text:13. Show that = (a) fo x²s+¹e-ax² dx (b) 1.00 x²se-ax² dx = s! 2as+1' (s - 1/2 ) ! 2a³+1/2
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