# h Bessel equation of order p is ty" + ty + (t? - p2 y =...

h Bessel equation of order p is ty" + ty + (t? - p2 y = 0. In this problem assume that p= 2. a) Show that y1 = sint/Vt and y2 = cost/vt are linearly independent solutions for 0 <t<o. b) Use the result from part (a), and the preamble in Exercise 3, to find the general solution of ty" + ty' + (t2 - 1/4)y = 3/2 cost.
(o if 0 <t < 12, y(t) = { 2 if 12 < t < 15, 0 if 15 <t

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