Solve the equation y' - y = f(t), y(0) = 0 t/2 F(t) = (1/² 3 where f(t)= a. b. C. d. y(t) = y(t) = y(t) = y(t) = 9>150 t>6 F(s) = 1 [1-6-6²] ܐܨ [cost+t-µ(t-6)(t - 6 - cos(t – 6))]) [sint+t-μ(t-6)(t− 6 – sin(t — 6))] [sint +t− µ(t− 6)(t – sin(t))] [sint + 1 - µ(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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Question
Solve the equation y' - y = f(t), y(0) = 0
t/2
F(t) = (1/²
3
where f(t)=
a.
b.
C.
d.
y(t) =
y(t) =
y(t) =
y(t) =
9>150
t>6
F(s) = 1 [1-6-6²]
ܐܨ
[cost+t-µ(t-6)(t
- 6 - cos(t – 6))])
[sint+t-μ(t-6)(t− 6 – sin(t — 6))]
[sint +t− µ(t− 6)(t – sin(t))]
[sint + 1 - µ(t-6)(t− 6 – sin(t – 6))]
Transcribed Image Text:Solve the equation y' - y = f(t), y(0) = 0 t/2 F(t) = (1/² 3 where f(t)= a. b. C. d. y(t) = y(t) = y(t) = y(t) = 9>150 t>6 F(s) = 1 [1-6-6²] ܐܨ [cost+t-µ(t-6)(t - 6 - cos(t – 6))]) [sint+t-μ(t-6)(t− 6 – sin(t — 6))] [sint +t− µ(t− 6)(t – sin(t))] [sint + 1 - µ(t-6)(t− 6 – sin(t – 6))]
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