Consider the following initial value problem: Edit y" + 8y' + 15y = d(t – 5) + u10(t); y(0) = 0, y(0) 4 a) Find the solution y(t). y(t) 8. -3t - e 1 -3(t-5) e 1 -5(t-5) u(t) X 1 e5(t–10) 10 1 -3(t-10) e ua(t) 6. 15 where c= and d =10

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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Consider the following initial value problem:
Edit
1
y" + 8y + 15y = 8(t – 5) + u10(t); y(0) = 0, y(0) = =
4
a) Find the solution y(t).
("-")
1
(e-St – e 5)
y(t) =
8.
1
-3(t-5)
1
–5(t–5)
ult) X
2
1
e-5(t-10)
10
1
-3(t-10)
6.
Ud(t)
15
where c = 5
and d
10
Transcribed Image Text:Consider the following initial value problem: Edit 1 y" + 8y + 15y = 8(t – 5) + u10(t); y(0) = 0, y(0) = = 4 a) Find the solution y(t). ("-") 1 (e-St – e 5) y(t) = 8. 1 -3(t-5) 1 –5(t–5) ult) X 2 1 e-5(t-10) 10 1 -3(t-10) 6. Ud(t) 15 where c = 5 and d 10
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