Question: 2. Consider the following second-order differential equation: (1-x)y - 4xy' + 2y = 0. c) Use an infinite series method to find out the

2. Consider the following second-order differential equation: (1-x)y" - 4xy' + 2y

= 0. c) Use an infinite series method to find out the

2. Consider the following second-order differential equation: (1-x)y" - 4xy' + 2y = 0. c) Use an infinite series method to find out the recurrence relation for the series coefficients. d) What value of 2 will cut-off the infinite series and make it a nice polynomial function? e) Are those polynomials orthogonal? Why?

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