QUESTION 3 Identify the order k of the Legendre equation (1-x²)y" - 2xy' + 20y=0 with general solution y(x) = C₁y₁ + C₂y₂. Hence, use the Legendre generating function to approximate the value of Pk (1).

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A: Laplace transform of a function f(t) is defined as Lft=∫0∞e-st ft dt

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Q: If  n(A) = 105, n(A ∪ B) = 144, and n(A ∩ B) = 46, find n(B).

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