Find the solution of the initial-value problem y" - 6y" +16y'-96y = sec 4t, y(0) = 2, y'(0) = -1, y"(0) = 46. A fundamental set of solutions of the homogeneous equation is given by the functions: yi(t)= eat, where a = y2(t) = = Yz(t)

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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A particular solution is given by:
Y(t) = [
to
C
Therefore the solution of the initial-value problem is:
+
Therefore the solution of the initial-value problem is:
y(t) =
ds y₁(t)
-Y2(t)
ys(t)
-
]). Vs(t)
]+Y(t)
Transcribed Image Text:A particular solution is given by: Y(t) = [ to C Therefore the solution of the initial-value problem is: + Therefore the solution of the initial-value problem is: y(t) = ds y₁(t) -Y2(t) ys(t) - ]). Vs(t) ]+Y(t)
Find the solution of the initial-value problem
y" - 6y"+16y' - 96y= sec 4t, y(0) = 2, y'(0) = -1, y'(0) = 46.
A fundamental set of solutions of the homogeneous equation is given
by the functions:
y₁(t) = eat, where a =
y2(t) =
Y3(t)
Transcribed Image Text:Find the solution of the initial-value problem y" - 6y"+16y' - 96y= sec 4t, y(0) = 2, y'(0) = -1, y'(0) = 46. A fundamental set of solutions of the homogeneous equation is given by the functions: y₁(t) = eat, where a = y2(t) = Y3(t)
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