Which one of the following functions is a particular solution of y" + 2y + y = 25 cos(2t) ? 4 sin(2r) — 3 сos(21) -4te- sin(2t) + 3te¬' cos(2t) O -4t sin(2t) + 3t cos(2t) Зе' sin(21) — 4e" cos(21) O 4e- sin(2t) – 3e¬' cos(2t)

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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Which one of the following functions is a particular solution of
y" + 2y + y = 25 cos(2t) ?
4 sin(2t) – 3 cos(2t)
-4te- sin(2t) + 3te¬' cos(2t)
-4t sin(2t) + 3t cos(2t)
3e¬' sin(2t) – 4e¬ cos(2t)
O 4e- sin(2t) – 3e¬' cos(2t)
Transcribed Image Text:Which one of the following functions is a particular solution of y" + 2y + y = 25 cos(2t) ? 4 sin(2t) – 3 cos(2t) -4te- sin(2t) + 3te¬' cos(2t) -4t sin(2t) + 3t cos(2t) 3e¬' sin(2t) – 4e¬ cos(2t) O 4e- sin(2t) – 3e¬' cos(2t)
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