6. Evaluate * y" + 9y = 0; y(0) = 2 , y'(0) = 9 2cos3t + 3sin3t 2cos3t + 9sin3t C. A. 3(cos3t + sin3t) 2cos9t + sin9t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Answer number 6 and 7. Show complete solution Instructions: Laplace transform of derivatives
6. Evaluate *
y" + 9y = 0; y(0) = 2 , y'(0) = 9
2cos3t + 3sin3t
2cos3t + 9sin3t
C.
OA.
3(cos3t + sin3t)
2cos9t + sin9t
D.
O B.
7. Evaluate *
y" + y' = t; y(0) = 1 , y'(0) = -2
t + cos(t)sin(t)
t + cost – sint
С.
t + cost – 3sint
t + cost + 3sint
D.
O B.
Transcribed Image Text:6. Evaluate * y" + 9y = 0; y(0) = 2 , y'(0) = 9 2cos3t + 3sin3t 2cos3t + 9sin3t C. OA. 3(cos3t + sin3t) 2cos9t + sin9t D. O B. 7. Evaluate * y" + y' = t; y(0) = 1 , y'(0) = -2 t + cos(t)sin(t) t + cost – sint С. t + cost – 3sint t + cost + 3sint D. O B.
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