Find the solution of the initial-value problem 7 227 y" – 9y" + 16y/ – 144y = = sec 4t, y(0) = 2, y'(0) =-, y"(0) = | 2 A fundamental set of solutions of the homogeneous equation is given by the functions: Y1(t) = et, where a = SPONSG Y2(t) = Y3(t) = %3D A particular solution is given by: Y(+) = ds - yı(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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Y(t) = |
A particular solution is given by:
nt
Y(t) = |
ds · y1(t)
%3D
to
+([
· Y2(t)
+([
Y3(t)
Therefore the solution of the initial-value problem is:
y(t) =
+Y(t)
Transcribed Image Text:Y(t) = | A particular solution is given by: nt Y(t) = | ds · y1(t) %3D to +([ · Y2(t) +([ Y3(t) Therefore the solution of the initial-value problem is: y(t) = +Y(t)
Find the solution of the initial-value problem
7
227
y" – 9y" + 16y' - 144y
= sec 4t, y(0) = 2, y'(0) = -, y"(0) =
A fundamental set of solutions of the homogeneous equation is given
by the functions:
Y1(t) =
eat where a =
Y2(t)
Y3(t) =
%3D
A particular solution is given by:
Y(t) =
ds y1(t)
to
Transcribed Image Text:Find the solution of the initial-value problem 7 227 y" – 9y" + 16y' - 144y = sec 4t, y(0) = 2, y'(0) = -, y"(0) = A fundamental set of solutions of the homogeneous equation is given by the functions: Y1(t) = eat where a = Y2(t) Y3(t) = %3D A particular solution is given by: Y(t) = ds y1(t) to
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