Consider the Initial Value Problem A₁ = 0,0₁ x(t) = dx dt = = [23² 5 -2 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 181 X, x(0) , and A₂ = = 23 v₂ = = 181 (b) Find the solution to the initial value problem. Give your solution in real form. 181

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Consider the Initial Value Problem
A₁ = 0,0₁
x(t) =
dx
dt
=
=
[3³²
5
-2
(a) Find the eigenvalues and eigenvectors for the coefficient matrix.
181
X,
x(0)
, and A₂
=
=
23
v₂ =
=
1[18]
(b) Find the solution to the initial value problem. Give your solution in real form.
[181
Transcribed Image Text:Consider the Initial Value Problem A₁ = 0,0₁ x(t) = dx dt = = [3³² 5 -2 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 181 X, x(0) , and A₂ = = 23 v₂ = = 1[18] (b) Find the solution to the initial value problem. Give your solution in real form. [181
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