Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem #6: Let
S 10
f(t) = 1
0 <t < t
f(t)
-10 T <t < 2n
and assume that when f(t) is extended to the negative t-axis in a
periodic manner, the resulting function is even.
Consider the following differential equation.
d?x
4
+ 6x = f(t)
dt-
Find a particular solution of the above differential equation of the
form
00
00
Xp(t)
2 An cos
E g(t, n)
n= 1
n= 1
and enter the function g(t, n) into the answer box below.
Transcribed Image Text:Problem #6: Let S 10 f(t) = 1 0 <t < t f(t) -10 T <t < 2n and assume that when f(t) is extended to the negative t-axis in a periodic manner, the resulting function is even. Consider the following differential equation. d?x 4 + 6x = f(t) dt- Find a particular solution of the above differential equation of the form 00 00 Xp(t) 2 An cos E g(t, n) n= 1 n= 1 and enter the function g(t, n) into the answer box below.
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