Consider the system of differential equations × = (-3/2 ³/2)*+ (-¹₁) ¹ x' -1 where two eigenvalues of of (-3/2 ³-1) 3/2)- -(2/3). Let x Ty where T is a transformation matrix. Find two first order differential equations, eigenvector is u and -(-). are r-1/2 and r= 1/2, and the corresponding eigenvector is v °-+ 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)*+ (¹₁) ¹
x+
-1
2
3/2).
are r₁-1/2 and r= 1/2, and the corresponding eigenvector is v= - (-:-) and the generalized
-3/2-1
Let x-Ty where T is a transformation matrix. Find two first order differential equations,
where two eigenvalues of
0
-(2/3).
eigenvector is u
and
-+-+-
Transcribed Image Text:Consider the system of differential equations × = (-3/2 ³/2)*+ (¹₁) ¹ x+ -1 2 3/2). are r₁-1/2 and r= 1/2, and the corresponding eigenvector is v= - (-:-) and the generalized -3/2-1 Let x-Ty where T is a transformation matrix. Find two first order differential equations, where two eigenvalues of 0 -(2/3). eigenvector is u and -+-+-
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