Question: The Bessel function of order 0, y = J(x), satisfies the differential equation xy + y' + xy = 0 for all values of and

The Bessel function of order 0, y = J(x), satisfies the differential equation xy" + y' + xy = 0 for all values of and its value at 0 is J(0) = 1.
(a) Find J'(0).
(b) Use implicit differentiation to find J"(0).

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