Qeustion 2 The Bessel function of order 0, y= J(x), satisfies the differential equation xy" + y' + xy = 0, (1) for all values of x and its value at 0 is J(0) = 1. 1. Find J'(0). [Hint: Take x = 1 in the equation (1).] Use implicit differentiation to find J"(0). [Hint: Take derivative for the equation (1).] 2.

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