Solve "-4y + 4y = con t w(0) =1 lv(0) = 1. " sint +cont-int vit)- v(t) = ce' cos 2t + cge" sin 21 + cost sint w() = 20" + 3te" -cost-3sint vit) - ge" cost+ ge" sin t + - cost - sint w(t) = 2e' cos 21 + 3e' sin 2t + Cost sint y(t)= - cost- 4sint O the correct answer does not appear in this list v(t) = 2e + 3le" + cost - 4 sint (t) = 2e' cos 2t + 3e sin 2t + cost- sint 12 v(t) - cos 21 + sin 21 + cost sint 10 cos 21 + sin 21 + cost- sint y(t) = 2e" cost + 3" sint + cost + sint vt) - " cost+ e" sint+ y(t) = - + 3cost- 4sint 25 v(t) - ee" + eyte + cont y(t) - 2 cost +3e" sint + sin t

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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Question
100%
Solve
(w-4+4y cost
v(0) = 1
v(0) = 1.
vit)=
sin t + cont sin t
cost-
COst-
y(t) = ce' cos 21 + cze' sin 21 +
sint
Cost-
v(() = 2 + 3te" - cost - 3 sin t
v(t) = ce" cost+ eze" sint +
sin t
COst-
t) = 2e' cos 21 + 3e' sin 2t +
CONt-
sint
11
y(t) =
3
te + cost - 4 sint
O the correct answer does not appear in this list
y(t) = 2e +3te + cost - 4 sint
%3D
w(t) = 20' cos 2t + 3e' sin 2t + co
Cost -
sin t
%3D
12
v0) -
sin 21 +
20
Cos 21 +
Cost-
sin t
10
3
cos 21 +
10 sin 21 +
+et- sint
COst-
12
3
y(t) = 2e con t+3e sint+
4.
3.
sint
4.
v(t) =e" cost +e sint +
sint
COst-
22
y(t) =
25
3
+3 cost - 4 sin !
v(t)- ce +eate" + cost - sin t
y(t) = 2e" cost +3e" sint + cost
sin t
112
Transcribed Image Text:Solve (w-4+4y cost v(0) = 1 v(0) = 1. vit)= sin t + cont sin t cost- COst- y(t) = ce' cos 21 + cze' sin 21 + sint Cost- v(() = 2 + 3te" - cost - 3 sin t v(t) = ce" cost+ eze" sint + sin t COst- t) = 2e' cos 21 + 3e' sin 2t + CONt- sint 11 y(t) = 3 te + cost - 4 sint O the correct answer does not appear in this list y(t) = 2e +3te + cost - 4 sint %3D w(t) = 20' cos 2t + 3e' sin 2t + co Cost - sin t %3D 12 v0) - sin 21 + 20 Cos 21 + Cost- sin t 10 3 cos 21 + 10 sin 21 + +et- sint COst- 12 3 y(t) = 2e con t+3e sint+ 4. 3. sint 4. v(t) =e" cost +e sint + sint COst- 22 y(t) = 25 3 +3 cost - 4 sin ! v(t)- ce +eate" + cost - sin t y(t) = 2e" cost +3e" sint + cost sin t 112
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