where O O O y(t) = (f-cost)-(1)[(1 − 6) - cos(t = 6)] + 6 sint +4 cost - sint) ([(-6)-sin(t-6)] + 6 cost + 4 sint 1 1 X(t)=(-sint) + 6(1)(1-6) sin(1-6)] + 6 cost + 4 sint 1 y(t) = O 1 y(t) == y"+y= g(t), y(0) = 6, y(0) = 4 - 8(0) = { $.051<6 3.126 1 (r-sint)(1)(-6) sin(t−6)] + 4 cost + 6 sint Oy(t) = (t-sint) (1)[(-6)-sin(r-6)] + 6 cost + 4 sint

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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where
O
O
O
O
X(t) = (f-cost) - 14(1)(1-6) — cos(t − 6)] + 6 sint + 4 cost
1
y(t) ==
y"+y=g(t), y(0) = 6, y(0) = 4
(r-sint)
8(1)=
-sinf)-([(-6) sin(t-6)] +6 cost + 4 sint
1
1
X(t)=(-sint) + 6(1)(-6)-sin(-6)] + 6 cost + 4 sint
1
Oy(t) = (t-sint)
(0 ≤1<6
13.126
(1)(-6) sin(t-6)] + 4 cost +6 sint
()[(-6)-sin(r-6)] + 6 cost + 4 sint
Transcribed Image Text:where O O O O X(t) = (f-cost) - 14(1)(1-6) — cos(t − 6)] + 6 sint + 4 cost 1 y(t) == y"+y=g(t), y(0) = 6, y(0) = 4 (r-sint) 8(1)= -sinf)-([(-6) sin(t-6)] +6 cost + 4 sint 1 1 X(t)=(-sint) + 6(1)(-6)-sin(-6)] + 6 cost + 4 sint 1 Oy(t) = (t-sint) (0 ≤1<6 13.126 (1)(-6) sin(t-6)] + 4 cost +6 sint ()[(-6)-sin(r-6)] + 6 cost + 4 sint
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