y" +8y' + 32y = g(t); y(0) = 0, y'(0) = 0, where g(t) = 128 if 0sts 5n/4 %3D if t> 5x/4 Complete parts (a) through (c) below. (a) Find a solution to the initial value problem for 0sts 5n/ 4. The solution for 0sts 5x/4 is y(t) = %3D

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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In certain physical models, the no homogeneous term, or forcing term, g(t) in the equation at”+by’+cy=g(t) may not be continuous, but have a jump discontinuity. If this occurs, a reasonable solution can still be obtained using the following procedure. Consider the following initial value problem.
y" +8y'
+ 32y = g(t); y(0)= 0, y'(0) = 0, where g(t) =
128 if 0sts 5x/4
if t> 5n/4
Complete parts (a) through (c) below.
(a) Find a solution to the initial value problem for 0sts 5n /4.
The solution for 0sts 5x/4 is y(t) =
%3D
Transcribed Image Text:y" +8y' + 32y = g(t); y(0)= 0, y'(0) = 0, where g(t) = 128 if 0sts 5x/4 if t> 5n/4 Complete parts (a) through (c) below. (a) Find a solution to the initial value problem for 0sts 5n /4. The solution for 0sts 5x/4 is y(t) = %3D
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