Bessel's differential equation of order n = 0 is ty" + y' + ty = 0. We shall see in
Chapter 4, Problem 64(choose chapter or problem)
Bessel's differential equation of order n = 0 is ty" + y' + ty = 0. We shall see in Section 5.3 that a solution of the initial-value problem ty" + y' + ty = 0, y(O) = 1, y'(O) = 0 is y = J0(t), called the Bessel function of the first kind of order v = 0. Use the procedure outlined in the instructions to 17 and 18 to show that 1 s;{Jo(t)} = vs2 + 1 [Hint: You may need to use in Exercises 4.2. Also, it is known that10(0) = l.]
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