In each of 41 and 42, show that the point x = 0 is a
Chapter 5, Problem 41(choose chapter or problem)
In each of 41 and 42, show that the point x = 0 is a regular singular point. In eachproblem try to find solutions of the form n=0anxn. Show that (except for constant multiples)there is only one nonzero solution of this form in and that there are no nonzerosolutions of this form in 42. Thus in neither case can the general solution be found inthis manner. This is typical of equations with singular points.2xy+ 3y+ xy = 0
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