02. The general solution of y" + 6y' +10y = 39 cos(t) is -3 A. y=e-³t [C₁ cos(t) + C, sin(t)] + 2t cos(t) + 3t sin(t) B. y=e-³t [C, cos(t) + C, sin(t) ] +3 cos (t) + 2 sin(t) C. ye [C, cos(3 t) + C₂ sin(3 t) ] + 2 cos(t) + 3 sin(t) D. y=e-³t [C₁ cos(t) + C₂ sin(t)] + 3 cos(t) E. None of the above.
02. The general solution of y" + 6y' +10y = 39 cos(t) is -3 A. y=e-³t [C₁ cos(t) + C, sin(t)] + 2t cos(t) + 3t sin(t) B. y=e-³t [C, cos(t) + C, sin(t) ] +3 cos (t) + 2 sin(t) C. ye [C, cos(3 t) + C₂ sin(3 t) ] + 2 cos(t) + 3 sin(t) D. y=e-³t [C₁ cos(t) + C₂ sin(t)] + 3 cos(t) 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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![02. The general solution of y" + 6y' +10y = 39 cos(t) is
3
A. y=e-³t [C₁ cos(t) + C₂ sin(t)] + 2t cos(t) + 3t sin(t)
B.
y=e-³t [C₁ cos(t) + C₂ sin(t) ] +3 cos (t) + 2 sin(t)
C.
y=et [C₁ cos(3 t) + C₂ sin(3 t) ] + 2 cos(t) + 3 sin(t)
-3
D. y=e-³t [C₁ cos(t) + C₂ sin(t)] + 3 cos(t)
E.
None of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe248e65d-3ffc-4237-8733-637dfbefd3f4%2Fe1e81df9-5ade-4956-920c-7a8835a9044f%2Fnlpdlsj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:02. The general solution of y" + 6y' +10y = 39 cos(t) is
3
A. y=e-³t [C₁ cos(t) + C₂ sin(t)] + 2t cos(t) + 3t sin(t)
B.
y=e-³t [C₁ cos(t) + C₂ sin(t) ] +3 cos (t) + 2 sin(t)
C.
y=et [C₁ cos(3 t) + C₂ sin(3 t) ] + 2 cos(t) + 3 sin(t)
-3
D. y=e-³t [C₁ cos(t) + C₂ sin(t)] + 3 cos(t)
E.
None of the above.
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