The point x = 0 is a regular singular point of the given differential equation. 3xy'' − y' + 3y = 0 Show that the indicial roots r of the singularity do not differ by an integer. (List the indicial...

The pointx = 0 is a regular singular point of the given differential equation.

3xy'' − y' + 3y = 0

Show that the indicial rootsr of the singularity do not differ by an integer. (List the indicial roots below as a comma-separated list.)

Use the method of Frobenius to obtain two linearly independent series solutions about

x = 0.

Form the general solution on

(0, ∞).

Jun 04, 2022

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