Question: In problem, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity do not

In problem, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity do not differ by an integer. Use the method of Frobenius to obtain two linearly independent series solutions about x = 0. Form the general solution on (0, ∞).

x2y'' + xy' + (x2  4/9)y = 0

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The indicial roots of the singular point x0 are r1 0 and r2 2 As the indicial roots do not differ by ... View full answer

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