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Bessel functions and sturm-liouville problem

Assignment:

Use the following table to solve the questions.

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

Q1. Find the first four α _i > 0 defined by J₁( 3α ) = 0

Q2. Find the first four α _i ≥ 0 defined by J'₀( 2α ) = 0.

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Mathematics: Bessel functions and sturm-liouville problem

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Mathematics: Bessel functions and sturm-liouville problem

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