Consider the following initial value problem: y" + 10y' + 21y = d(t − 5) + u₁0(t); _y(0) = 0, y'(0) : = a) Find the solution y(t). y(t) = = where c = + + and d = 1|4 uc (t) ua(t)

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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Solve a and b
Consider the following initial value problem:
y" + 10y' + 21y = 8(t− 5) + u₁0(t); _y(0) = 0,
y(0) =
a) Find the solution y(t).
y(t)
=
where c =
+
and d =
b) Use a graphing utility to plot the solution y(t).
0, y'(0) :
=
1
4
uc(t)
])ua(t)
Transcribed Image Text:Consider the following initial value problem: y" + 10y' + 21y = 8(t− 5) + u₁0(t); _y(0) = 0, y(0) = a) Find the solution y(t). y(t) = where c = + and d = b) Use a graphing utility to plot the solution y(t). 0, y'(0) : = 1 4 uc(t) ])ua(t)
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