(d) Explain how the graphs of the forcing function and the solution are related. The solution increases to a temporary steady value of Y After the forcing ceases, the response decays exponentially to y =
(d) Explain how the graphs of the forcing function and the solution are related. The solution increases to a temporary steady value of Y After the forcing ceases, the response decays exponentially to y =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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
Transcribed Image Text:(d) Explain how the graphs of the forcing function and the solution
are related.
The solution increases to a temporary steady value of
After the forcing ceases, the
response decays exponentially to y =

Transcribed Image Text:Consider the following initial value problem:
y" + 10y' + 21y = f(t); y(0) = 0, y(0) = 0;
{
1, 0<t< 10
0, t> 10
f (t)
(a) Sketch the graph of the forcing function on an appropriate interval.
1
0.8+
0.6+
0.4 -
0.2+
to
5
10
15
20
is
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