Let x (t) x"(t) xh(t) = = If x (0) = = x₂(t) = = x₁(t) = sin( -3 -28 [:] [*] 16 Put the eigenvalues in ascending order when you enter x₁(t), x₂(t) below. 8 sin( x1(t) x₂ (t) -17x₁(t) 8x₁(t) + sin( t) + sin( t) + be a solution to the system of differential equations: t) + and x'(0) = cos( 16x2 (t) 7x₂(t) t) + cos( = cos( t) + t) cos(t) + t) , find x(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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Question
Let x (t)
x' (t)
x' (t)
If x (0)
x₁(t)
=
=
=
=
=
sin(
x ₂ (t)
2 =
sin(
x1(t)
x2(t)
]
Put the eigenvalues in ascending order when you enter x₁(t), x₂(t) below.
-17x₁(t)
8 x ₁ (t)
1
-3
[:]
sin(
t) +
sin(
t) +
t) +
cos(
be a solution to the system of differential equations:
and x'(0)
t) +
+
cos(
16 x ₂ (t)
2
7x₂(t)
=
-28
16
cos ( t) +
t)
cos( t) +
t)
"
find x(t).
Transcribed Image Text:Let x (t) x' (t) x' (t) If x (0) x₁(t) = = = = = sin( x ₂ (t) 2 = sin( x1(t) x2(t) ] Put the eigenvalues in ascending order when you enter x₁(t), x₂(t) below. -17x₁(t) 8 x ₁ (t) 1 -3 [:] sin( t) + sin( t) + t) + cos( be a solution to the system of differential equations: and x'(0) t) + + cos( 16 x ₂ (t) 2 7x₂(t) = -28 16 cos ( t) + t) cos( t) + t) " find x(t).
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