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4. The Bessel Equation Of Order P Is Ty" + Ty' + (+2 - P2)y = 0. In This Problem Assume That P= . A)

Please solve both 4a. and 4b. and show all work, thank you.

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