18. [-/4.76 Points] DETAILS ZILLDIFFEQ9 6.2.018. 0/6 Submissions Used Find two power series solutions of the given differential equation about the ordinary point x = 0. (x - 1)y" + xy' - y = 0 16 Oy, =1 -_x -_x-... and y, =x+ x 16 Oy =1+ +_x+... and y, =x+ x Oy =1+ + _x +... and y, = x Oy =1-_ 12 _ _x - . .. and y2 = x Oy =1-- 1 2 + _x - ... and yz = x Need Help? Read It 19. [-/4.76 Points] DETAILS ZILLDIFFEQ9 6.2.020.MI. 0/6 Submissions Used Use the power series method to solve the given initial-value problem. (Enter the first four nonzero terms.) (x + 1)y" - (2 - x)y' + y = 0, y(0) = 4, y'(0) = -1 y = Need Help? Read it Watch it 20. [-/4.76 Points] DETAILS ZILLDIFFEQ9 6.2.019. 0/6 Submissions Used Use the power series method to solve the given initial-value problem. (Format your final answer as an elementary function.) (x - 1)y" - xy' + y = 0, y(0) = -2, y'(0) = 6 Need Help? Read It21. [-/4.8 Points] DETAILS ZILLDIFFEQ9 6.2.024. 0/6 Submissions Used Use the procedure in Example 8 in Section 6.2 to find two power series solutions of the given differential equation about the ordinary point x = 0. +ey - y=0 and y, = x + N P 1 1 1 , Oy =1+ and y, = x - 3 9 16 N Oy =1- 1 1 y -. - ... and y, = x - 16 1 1 1 1 + =1+ and y, = x - 6 24 Oy=1+ 1 1 3. N P + . .. and y, =x+ 16 Need Help? Read It