Find the solution of the given initial value problem. y" + 4y = sint – u2:(1)sin(t – 2n), y(0) = 6, y' (0) = 6 %3D 1 17 y( + sint +sint + 6cos2t-–sin2t 6 x6) = cos21 - cos + 6sinza+ cos2i 5cos21 - cos +geow + 6sin2+cos21 – cost + 6sin2t+cos2t 1 :- cost +cost + 6sin2t+"cos2t 3 y(t) = 17 y(t) = u2r (1)sin2t – sint + 6cos21+sin2t 1 17 y(1) = u2, (t)sin2t sint +sint + 6cos2t+–sin2t 6 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the solution of the given initial value problem.
y" + 4y = sint – uza(1)sin(t – 27), y(0) = 6, y (0) = 6
1
17
y(t) :
U2r (t)sin2t + sint| +sint + 6cos2t- sin2t
3
1
y() :
17
t – cost + 6sin2t+ cos2t
6
J) = co2 - cou +jcow
1
= zU2r (t)
17
t – cost +cost + 6sin2t+ cos2t
1
3
17
y(t) = u21 (1)sin2t – sint| + 6cos2t+sin2t
1
17
1
y(t :
1
-U2 (t)sin2t – sint +sint + 6cos2t+sin2t
3
6.
Transcribed Image Text:Find the solution of the given initial value problem. y" + 4y = sint – uza(1)sin(t – 27), y(0) = 6, y (0) = 6 1 17 y(t) : U2r (t)sin2t + sint| +sint + 6cos2t- sin2t 3 1 y() : 17 t – cost + 6sin2t+ cos2t 6 J) = co2 - cou +jcow 1 = zU2r (t) 17 t – cost +cost + 6sin2t+ cos2t 1 3 17 y(t) = u21 (1)sin2t – sint| + 6cos2t+sin2t 1 17 1 y(t : 1 -U2 (t)sin2t – sint +sint + 6cos2t+sin2t 3 6.
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