Consider the following initial value problem: 1 y" + 10y' + 21y = 8(t − 5) + u₁0(t); y(0) = 0, y'(0) = - = 3 a) Find the solution y(t). y(t) = + uc(t) X ua(t)
Consider the following initial value problem: 1 y" + 10y' + 21y = 8(t − 5) + u₁0(t); y(0) = 0, y'(0) = - = 3 a) Find the solution y(t). y(t) = + uc(t) X ua(t)
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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Advanced Math
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).
13
3
uc(t) X
Jua(t)
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