x^2y'' + xy' - 2y = 0 Dfferential equation has a regular singular point at x = 0. Determine the indicial equation, the recursion relations, the roots of the indical equation, and the first three terms of the series solutions.

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You should assume that the solution of the equation is of form `y(x) = x^r,`  hence `y'(x) = r*x^(r-1)`  ; `y''(x) = r*(r-1)x^(r-2).`

Substituting y' and y'' in...

(The entire section contains 94 words.)

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