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**Unformatted text preview: **D ) is a polynomial differential operator and if for all polynomials g ( x ) and q ( x ) of degrees six or less g ( x ) sin ( x ) and q ( x ) cos ( x ) e-2 x are solutions of p ( D ) y = 0, find p ( x ) of least degree. G. Find a polynomial differential operator p ( D ) of least degree whose kernel contains the functions sin ( x ), xcos ( x ), cos (2 x ) e x , and x 2 sin (3 x ) e-2 x . H. Find the general solution of f " f = e 2 x 1 + e 2 x . I. Find the general solution of f ''' + 6 f " + 11 f ' + 6 f = 1 1 + e x . Hand In 11A) pp. 468-470 #22; 24; 27; 34; p. 481 #14; 20; 26; p. 512 #11; 19; C 11B) p. 470 #41; A; D; I Due Monday November 21...

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