(a) Show that(ln x)y+ 12 y+ y = 0has a regular singular
Chapter 5, Problem 18(choose chapter or problem)
(a) Show that(ln x)y+ 12 y+ y = 0has a regular singular point at x = 1.(b) Determine the roots of the indicial equation at x = 1.(c) Determine the first three nonzero terms in the series n=0an(x 1)r+n correspondingto the larger root. Take x 1 > 0.(d) What would you expect the radius of convergence of the series to be?
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