Mathematics Homework Solutions
Problem
#72839

Bessel Functions and Sturm-Liouville Problem

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Use the following table to solve 3 and 4.

J0(x) J1(x) Y0(x) Y1(x)
2.4048 0.0000 0.8936 2.1971
5.5201 3.8317 3.9577 5.4297
8.6537 7.0156 7.0861 8.5960
11.7915 10.1735 10.2223 11.7492
14.9309 13.3237 13.3611 14.8974


3.   Find the first four α i   0 defined by J1( 3α ) = 0
4.   Find the first four α i   0 defined by J'0( 2α ) = 0.

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d.e. test2.doc
Use the following table to solve 3 and 4.

J0(x) J1(x) Y0(x) Y1(x)

2.4048 0.0000 0.8936 2.1971

5.5201 3.8317 3.9577 5.4297

8.6537 7.0156 7.0861 8.5960

11.7915 10.1735 10.2223 11.7492

14.9309 13.3237 13.3611 14.8974

 0 defined by J1( 3α ) = 0

 0 defined by J'0( 2α ) = 0.

Solution Summary

Bessel functions and a Sturm-Liouville problem are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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