Find the solution of the given initial value problem. y' +y = f(t),y(0) = 6.y' (0) = 5 where S1, 0
Find the solution of the given initial value problem. y' +y = f(t),y(0) = 6.y' (0) = 5 where S1, 0
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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![Find the solution of the given initial value problem.
y'.
+ y = f(t),y(0) = 6,y' (0) = 5
where
S 1, 0<1<
0, <1< 0
f(t) =
y(t) = ug/2(1)[sint – 1] + 11sin t – cost + 1
y(t) = Ua/2(1)[sint – 1] – 5cost – 5sint – 1
O y(t) = Ua/2(t)[cost – 1] + 4cost + 6sint + 1
O y(t) = u„/2(t)[sint – 1] + 6cost + 5sint
O y(t) = Ua/2(t)[sint – 1] + 5cost + 5sint + 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77cac1a6-5ad9-4f72-bdd9-21a202e53df4%2Fd97ad4fd-0990-4d53-8e43-784f2ccf6299%2Fsnyn5d7_processed.png&w=3840&q=75)
Transcribed Image Text:Find the solution of the given initial value problem.
y'.
+ y = f(t),y(0) = 6,y' (0) = 5
where
S 1, 0<1<
0, <1< 0
f(t) =
y(t) = ug/2(1)[sint – 1] + 11sin t – cost + 1
y(t) = Ua/2(1)[sint – 1] – 5cost – 5sint – 1
O y(t) = Ua/2(t)[cost – 1] + 4cost + 6sint + 1
O y(t) = u„/2(t)[sint – 1] + 6cost + 5sint
O y(t) = Ua/2(t)[sint – 1] + 5cost + 5sint + 1
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