Question: Please work out problem. Please show work. Thank you. (a) Verify that y1 = z and y2 = ~ + 1 are solutions of the

Please work out problem. Please show work. Thank you.

(a) Verify that y1 = z and y2 = ~ + 1 are solutions of the differential equation (z2 - 1) 1 - 271/ + 2y =0 (b) Use the method of variation of parameters to determine a particular solution of (22 -1) " - 2my + 2y - (2- -1)" () Determine the general solution of the equation (27 - 1) y" - 2.21/ + 20 - (2- - 1)2

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