Referring to 10, use the method of reduction of order to show that the second solution
Chapter 5, Problem 11(choose chapter or problem)
Referring to 10, use the method of reduction of order to show that the second solution of the Bessel equation of order zero contains a logarithmic term. Hint: If y2( x) = J0( x)v( x), then y2( x) = J0( x) _ dx xJ0( x)_2 . Find the first term in the series expansion of 1 xJ0( x)_2 .
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