For the differential equation (l - x2)2y\" + xy\' + (l - x)y = 0, classify all t
ID: 3081945 • Letter: F
Question
For the differential equation (l - x2)2y" + xy' + (l - x)y = 0, classify all the ordinary points, regular singular points, and irregular singular points. All points are ordinary. All points are regular singular points. All points are irregular singular points. x = 1 is a regular singular point and all other points arc ordinary points. x = - 1 is a regular singular point and all other points are ordinary points. x = 1 is a regular singular point, x = -1 is an irregular singular point, and all other points arc ordinary. x = - 1 is a regular singular point, x = 1 is an irregular singular point, and all other points are ordinary. x = - 1 and x = 1 arc both regular singular points, and all other points ate ordinary. x = -1 and x = 1 are both irregular singular points, and all other points ate ordinary. Which of the following functions are analytic at x = 0? a All of the functions are analytic at x = 0.f and g are analytic at x = 0, but h is not. f and h are analytic at x - 0, but n is not. g and h are analytic at x = 0, but f is not. f is analytic at x = O, but f and h are not. g is analytic at x = 0, but f and h are not. h is analytic x = 0 but f and g an not. None of the function, ate analytic at x =0.Explanation / Answer
4=d 5=d