68. Let Jr dx. %3D (a) Show that J1 = -e-x²/2. (b) Prove that Jn = -x"-le-x*/2 + (n – 1)Jn–2. %3D (c) Use (a) and (b) to compute J3 and J5.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 43RE
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68. Let Jr
dx.
%3D
(a) Show that J1 = -e-x²/2.
(b) Prove that Jn = -x"-le-x*/2 + (n – 1)Jn–2.
%3D
(c) Use (a) and (b) to compute J3 and J5.
Transcribed Image Text:68. Let Jr dx. %3D (a) Show that J1 = -e-x²/2. (b) Prove that Jn = -x"-le-x*/2 + (n – 1)Jn–2. %3D (c) Use (a) and (b) to compute J3 and J5.
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