Problem set #1
xy” + 2y’ + xy = 0. Ans: y1 = , y2 = 2x(x – 1)y” – (x + 1)y’ + y = 0. Ans: y1 = a0(1 + x), y2 = Bx1/2. Differential Equations Reducible to Bessel’s Equation. Use the indicated substitutions and find a general solution in terms of Jp and J-p or indicate why these functions do not give a general solution. Show the details of your work. ................
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