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Find all the singular points of the following ODEs and determine whether each one is regular or irregular. If the singular point is regular,
Find all the singular points of the following ODEs and determine whether each one is regular or irregular. If the singular point is regular, determine the indicial equation and determine a lower bound for the radius of convergence of the Frobenius series. You must not try to compute the series solution itself. (x - 2)y" + xy + cot(x)y = 0. b. sinh?(r)g +(1 cosh(r))! +ry=0. c. (3x +4)y" + xy' + y =0. d. 2xy"+y' - 3xy = 0.
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