Consider the system of differential equations 3/2 x' = = (-3/2 ³/₁ ) x + (-¹₁) 0² -1 where two eigenvalues of eigenvector is u 2 3/2 -(2/3). Let x and 1 -(-4) 3/2) are r= 1/2 and r2 = 1/2, and the corresponding eigenvector is v= -1 Ty where T is a transformation matrix. Find two first order differential equations, and the generalized

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the system of differential equations
= (-3/2
3/2)x+ (-¹1) ¹
x' =
-3/2 -1
where two eigenvalues of
2 3/2
-3/2 -1
are r = 1/2 and r₂ = 1/2, and the corresponding eigenvector is v=
-(2/3). Let x = Ty where T is a transformation matrix. Find two first order differential equations,
eigenvector is u===
and
=
-/+nte, n
=+², ₂
-+-+
M
and the generalized
Transcribed Image Text:Consider the system of differential equations = (-3/2 3/2)x+ (-¹1) ¹ x' = -3/2 -1 where two eigenvalues of 2 3/2 -3/2 -1 are r = 1/2 and r₂ = 1/2, and the corresponding eigenvector is v= -(2/3). Let x = Ty where T is a transformation matrix. Find two first order differential equations, eigenvector is u=== and = -/+nte, n =+², ₂ -+-+ M and the generalized
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