Show that the Bessel equation of order one-halfx2y + xy + x2 14y = 0, x > 0can be
Chapter 5, Problem 6(choose chapter or problem)
Show that the Bessel equation of order one-halfx2y + xy + x2 14y = 0, x > 0can be reduced to the equationv + v = 0by the change of dependent variable y = x1/2v(x). From this, conclude thaty1(x) = x1/2 cos x and y2(x) = x1/2 sin x are solutions of the Bessel equation of orderone-half.
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