- #1
hadroneater
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Homework Statement
x(2 - x)y'' - (x - 1)y' + 2y = 0
Find the general solution in terms of a polynomial and a series in powers of x - 1.
Homework Equations
The Attempt at a Solution
Does the question basically ask for a series solution of the ODE at the regular point x = 1?
Then [itex]y(x) = \sum^{∞}_{n = 0}c_{n}(x - 1)^{n}[/itex]
If I sub that into the ODE then I get a rather complicated algebraic mess for x(2 - x)y''. Is this the right way to solve this?