For each positive integer n, the Bessel function J,(x) may be defined by (1-12)n-1/2 cos xt dt. J₁(x) 1.3.5 Prove that J,(x) satisfies Bessel's x" Jn" · (2n-1)π. +1 differential equation 1 n' + — ² + (1 - ²)√₁ -0. - X X

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