Consider the following initial value problem: y″+6y′ +8y= 5(t−5)+u(t); v(0) = 0, y′(0) = a) Find the solution y(t). y(t) = where c= + and d = uc(t) ])ua(t)
Consider the following initial value problem: y″+6y′ +8y= 5(t−5)+u(t); v(0) = 0, y′(0) = a) Find the solution y(t). y(t) = where c= + and d = 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
Problem 1RQ
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Please answer both subparts only correct.
Transcribed Image Text:Consider the following initial value problem:
y″+6y′ +8y= 8(t−5)+Uwo(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 u(t).
uc(t)
a(t)
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