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2. Show that the series solution of the ordinary differential equation (2 - 4) y + ry + 3y =0. about the point r =

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2. Show that the series solution of the ordinary differential equation (2 - 4) y" + ry + 3y =0. about the point r = 0 can be written in the form y (x) = Ay, (x) + By2 (x) , where A and B are constants, and 7 1 yi (2) = 1+ + . . ." yz () =r+-1 3 00 1 09 + + +. . . 128 40 State the domain of validity of this solution

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