Question: 2. Given a differential equation (2x- 1)y -(2x + 1)y'+ 2y=0 (* ) (a) Verify that y1 = er is a solution of (*). (2

2. Given a differential equation (2x- 1)y" -(2x + 1)y'+ 2y=0 (* ) (a) Verify that y1 = er is a solution of (*). (2 marks) (b) If y2 = uer is also a solution of (*), find u. Hence, find the general solution of (*). (12 marks)

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