Using the indicated substitution~. find a general solution in temlS of 1
Chapter 5, Problem 5.1.93(choose chapter or problem)
Use the powerful formulas (24) to do Probs. 21-28. (Show the details of your work.)
(Integration) Show that
\(\int x^{2} J_{0}(x) d x=x^{2} J_{1}(x)+x J_{0}(x)-\int J_{0}(x) d x\).
(The last integral is nonelementary; tables exist, e.g. in Ref. [A13] in App. 1.)
Text Transcription:
int x^2 J_0(x) dx = x^2 J_1(x) + x J_0(x) - int J_0(x) dx
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