Question: 6. When a is not an integer, we saw that Jem(x) provides a second linearly independent solution. When a is an integer, we need the

6. When a is not an integer, we saw that Jem(x) provides a second linearly independent solution. When a is an integer, we need the Bessel function of the second kind, Ya (x), for a second linearly independent solution. Use reduction of order on Bessel's equation of order zero to show that the second solution contains a logarithmic term. Hint. Show that if Yo(x) = =Jo(x)u(x), then Yo(x) = =Jo(x) IT r (Jo(x)) and find the first term in the series expansion of Yo(r)

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