et 5/13 Previous Problem Problem List Next Problem set 5: Problem 13 (1 point) The differential operator D + 12D+85 has the form D2 - 2aD + a2 +82 where a = =e and B = -6x cos(7x). Note Therefore D2+12D+ 85 should annihilate the function f 6.2 cos(7x) and g = e-6 sin(7x). We will check that for e that when we compute the derivative and second derivative we will get terms that have e-6x sin(7x) in them, so we will have to account for them below. Compute D2 (e-62 cos(7x)), 12D (e-6 cos(7x)), and 85e in the table. The columns of the table should add to zero. 6x -6x cos(7x). Place the coefficients from the terms e cos(7x) and e-6 sin(7x) Note: You can earn partial credit on this problem. Preview My Answers Submit Answers -6x e cos(7x) e sin(7x) -6x 85 12D D2 MaD40)