(e) None of the above. 8. A particular solution of y" + 6y' + 10y = 2e3 sin a - 5e" cos r + 2e3* will have the form !! (a) z = Axe3 cos x + Bae3 sin r + Ce3* (b) z = Ae cos 3x + Be sin 3x + Cre (c) z = Ae3 cos x + Be3 sin x + Ce3* (d) z = Axe- cos 3x + Bre- sin 3x + Ce3 (e) None of the above. 9. A particular solution of y" + 2y + 10y = 3e* cos 3x + (4x – 1)e3 will have the form (a) z = Axe cos 3x + Bre sin 3x + (Cx² + Dr)e3 z = Axe- cos 3x + Bxe- sin 3x + (Cx + D)e3* (c) z = Ae" cos x+ Be" sin x + Cre3 (d) z = Axe" cos 3x + Bre" sin 3x + (Cx+ D)e3* (e) None of the above.
(e) None of the above. 8. A particular solution of y" + 6y' + 10y = 2e3 sin a - 5e" cos r + 2e3* will have the form !! (a) z = Axe3 cos x + Bae3 sin r + Ce3* (b) z = Ae cos 3x + Be sin 3x + Cre (c) z = Ae3 cos x + Be3 sin x + Ce3* (d) z = Axe- cos 3x + Bre- sin 3x + Ce3 (e) None of the above. 9. A particular solution of y" + 2y + 10y = 3e* cos 3x + (4x – 1)e3 will have the form (a) z = Axe cos 3x + Bre sin 3x + (Cx² + Dr)e3 z = Axe- cos 3x + Bxe- sin 3x + (Cx + D)e3* (c) z = Ae" cos x+ Be" sin x + Cre3 (d) z = Axe" cos 3x + Bre" sin 3x + (Cx+ D)e3* (e) None of the above.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(e) None of the above.
8. A particular solution of y" + 6y + 10y = 2e3" sin r – 5e" cos a +2e3 will have the form
(a) z = Axe3 cos x + Bxe3 sin r + Ce3
(b) z = Ae cos 3x + Be- sin 3x + Cre
(c) z = Ae3 cos x + Be3 sin x + Ce3*
(d) z = Axe- cos 3x + Bre- sin 3x +Ce3
(e) None of the above.
9. A particular solution of y" + 2y + 10y = 3e-* cos 3x + (4x – 1)e3 will have the form
(a) z = Axe cos 3x + Bre sin 3x + (Cx² + Dr)e3
z = Axe- cos 3x + Bxe- sin 3x + (Cx + D)e3*
(c) z = Ae" cos x+ Be" sin x+ Cre
(d) z = Axe" cos 3x+ Bre" sin 3x + (Cx + D)e3
(e) None of the above.
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