(x²-1) y"- 6x y¹+12y=0 where prime denotes the derivative with respect to x. Assume a solution of the form y= c¸xn. n=0 Also assume that the following initial conditions are given y (0) =1, and y'(0) =2. Choose All Correct Answers Below B F G x = 1 is an ordinary point. H The recurrence relation is given by: This equation has no singular points. x = -1 is a singular point. Ex=0 is an ordinary point. (n-3)(n-4) n+2¯¯ (n+1)(n+2) n A particular solution is given by y=x²-2x³ + 6x² - 2x + 1 The recurrence relation is given by: (n-2)(n-3) (n+2)(n+3) , n=0,1,2,... A particular solution is given by y=x²+2x³ + 6x² + 2x + 1 с 11 , n=0,1,2,...

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