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10. The general solution of y"+4y = 6e2" + 4 sec? 2x is:

10. The general solution of y"+4y = 6e2" + 4 sec? 2x is:

Advanced Engineering Mathematics
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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3 / 4 + | 0 $ 100% 10. The general solution of y"+ 4y = 6e2" + 4 sec? 2x is: (a) z = C1 cos 2x + C2 sin 2x + xe2* + ; sin 2x In(sec 2x + tan 2x) (b) z = C1 cos 2x + C2 sin 2 2e2" + cos 2x In(sec 2x + tan 2x) - 1 (c) z = C1 cos 2x + C2 sin 2x - e* +; cos 2x In(sec 2x + tan 2x) (d) z = C1 cos 2x + C2 sin 2x + e2 + sin 2x ln(sec 2x + tan 2x) – 1 (e) None of the above. 11. A particular solution of y" – 5y + 6y = 2 sinh 2x – e2 is: ,2x (a) z = - 1ore-2+xe2 (b) z = – 2ge-2a - xe2x (c) z = – -2x 20 4xe2a -2x (d) z = 20 (e) None of the above.
Transcribed Image Text:3 / 4 + | 0 $ 100% 10. The general solution of y"+ 4y = 6e2" + 4 sec? 2x is: (a) z = C1 cos 2x + C2 sin 2x + xe2* + ; sin 2x In(sec 2x + tan 2x) (b) z = C1 cos 2x + C2 sin 2 2e2" + cos 2x In(sec 2x + tan 2x) - 1 (c) z = C1 cos 2x + C2 sin 2x - e* +; cos 2x In(sec 2x + tan 2x) (d) z = C1 cos 2x + C2 sin 2x + e2 + sin 2x ln(sec 2x + tan 2x) – 1 (e) None of the above. 11. A particular solution of y" – 5y + 6y = 2 sinh 2x – e2 is: ,2x (a) z = - 1ore-2+xe2 (b) z = – 2ge-2a - xe2x (c) z = – -2x 20 4xe2a -2x (d) z = 20 (e) None of the above.
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