Solve the equation y'-y=f(t), y(0)=0 t/2 3 where f(t)= a. 0≤t<6 t>6 C. (s)-1([1-6-6¹] y(t) = [cost+t-u(t-6)(t - 6 – cos(t – 6))]) b. y(t)=[sint +t-u(t - 6)(t – 6 — sin(t — 6))] y(t) = [sint +t-µ(t-6)(t-sin(t))]] d. y(t) = [sint +1-u(t-6)(t – 6 – sin(t – 6))] =
Solve the equation y'-y=f(t), y(0)=0 t/2 3 where f(t)= a. 0≤t<6 t>6 C. (s)-1([1-6-6¹] y(t) = [cost+t-u(t-6)(t - 6 – cos(t – 6))]) b. y(t)=[sint +t-u(t - 6)(t – 6 — sin(t — 6))] y(t) = [sint +t-µ(t-6)(t-sin(t))]] d. y(t) = [sint +1-u(t-6)(t – 6 – sin(t – 6))] =
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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![Solve the equation y'-y = f(t), y(0)=0
where f(t)=
0≤t<6
F(s) = [¹-3]
t>6
52
a. y(t) == [cost+t-u(t-6)(t-6-cos(t - 6))])
y(t) =
[sint+t-u(t-6)(t – 6 – sin(t – 6))]
v(t)=[sint-
-[sint+t-u(t-6)(t - sin(t))]
d. y(t) ==[sint +1- µ(t – 6)(t – 6 — sin(t − 6))]
b.
C.
t/2
3
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe73d31b-c2b2-4971-bb87-c0c1213285ee%2Fe3ea7fd7-0578-4d9a-a760-ed7ff36805df%2Fxgsjua_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Solve the equation y'-y = f(t), y(0)=0
where f(t)=
0≤t<6
F(s) = [¹-3]
t>6
52
a. y(t) == [cost+t-u(t-6)(t-6-cos(t - 6))])
y(t) =
[sint+t-u(t-6)(t – 6 – sin(t – 6))]
v(t)=[sint-
-[sint+t-u(t-6)(t - sin(t))]
d. y(t) ==[sint +1- µ(t – 6)(t – 6 — sin(t − 6))]
b.
C.
t/2
3
1
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