Solution Found!
(a) Proceed as in Example 5 to show that (b) Use the
Chapter 6, Problem 27E(choose chapter or problem)
QUESTION:
(a) Proceed as in Example 5 to show that
\(x J_{\nu}^{\prime}(x)=-\nu J_{\nu}(x)+x J_{\nu-1}(x)\).
\([\text { Hint: Write } 2 n+\nu=2(n+\nu)-\nu .]\)
(b) Use the result in part (a) to derive (21).
Text Transcription:
xJ_nu^prime(x)=-nuJ_nu(x)+xJ_nu-1(x)
[Hint:Write2n+nu=2(n+nu)-nu]
Questions & Answers
QUESTION:
(a) Proceed as in Example 5 to show that
\(x J_{\nu}^{\prime}(x)=-\nu J_{\nu}(x)+x J_{\nu-1}(x)\).
\([\text { Hint: Write } 2 n+\nu=2(n+\nu)-\nu .]\)
(b) Use the result in part (a) to derive (21).
Text Transcription:
xJ_nu^prime(x)=-nuJ_nu(x)+xJ_nu-1(x)
[Hint:Write2n+nu=2(n+nu)-nu]
ANSWER:Step 1 of 3
Here we have to show that and after that using this result we have to derive the result