Let r(t) = x' (t) x₂ (t) 21(t) [-] x₂(t) If x (0) be a solution to the system of differential equations: 36 x₁(t) + 21x₂ (t) -70 x₁(t) 41 x₂(t) -1 [B] -4 Put the eigenvalues in ascending order when you enter x₁(t), 2(t) below. x(t) exp( t) + exp([ x₂(t) = exp(t)+exp([ , find x (t). t)
Let r(t) = x' (t) x₂ (t) 21(t) [-] x₂(t) If x (0) be a solution to the system of differential equations: 36 x₁(t) + 21x₂ (t) -70 x₁(t) 41 x₂(t) -1 [B] -4 Put the eigenvalues in ascending order when you enter x₁(t), 2(t) below. x(t) exp( t) + exp([ x₂(t) = exp(t)+exp([ , find x (t). 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

Transcribed Image Text:Let (t) =
x' (t)
=
=
If x (0) =
=
x₂(t) =
21(t)
x₂ (t)
x₁(t) =
=
36 x₁(t)
-70 x₁(t)
-1
A
-4
Put the eigenvalues in ascending order when you enter x₁(t), ₂(t) below.
be a solution to the system of differential equations:
+ 21x₂ (t)
41 *₂ (t)
find ä(t).
exp(t)+ exp( |
exp(t)+exp(|
t)
t)
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