Question: 10. For the differential equation below, which arises in physics and many other places, (1- x? )y - 2xy' + a(a + 1)y = 0

10. For the differential equation below, which arises in physics and

10. For the differential equation below, which arises in physics and many other places, (1- x? )y" - 2xy' + a(a + 1)y = 0 prove that when a is distinct positive integers m and n then the solutions P(x) and R.(x) are orthogonal to each other in that they satisfy the integral 1 Ra(x) P(x)dx = 0 ifman 1-1

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