Given the Legendre's Equation (1) for m = 0 sing a [sin0 3]v(0) = ah²sin²0 9(0) 00 and the solutions (Legendre polynomia

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Given The Legendre S Equation 1 For M 0 Sing A Sin0 3 V 0 Ah Sin 0 9 0 00 And The Solutions Legendre Polynomia 1 (317.69 KiB) Viewed 349 times

Given the Legendre's Equation (1) for m = 0 sing a [sin0 3]v(0) = ah²sin²0 9(0) 00 and the solutions (Legendre polynomials), Equation (2) P₁(x) = (-1)¹ d¹ (1-²¹) 2¹11 dx² 1. Set x = cose, and find P₁ for 1 = 0, 1, 2 and 3, respectively. 2. Find the value of a and L2 for 1 = 0, 1 and 2, respectively.