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the point x=0 is a regular singular point of the given differential equation. 4xy+(1/2)y'+y=0 1) Show that the indicial roots r of the singularity do
the point x=0 is a regular singular point of the given differential equation.
4xy"+(1/2)y'+y=0
1) Show that the indicial rootsrof the singularity do not differ by an integer. (List the indicial roots as a comma-separated list.)
2) Use the method of Frobenius to obtain two linearly independent series solutions aboutx= 0. Form the general solution on
(0, ).
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