. An object is moving with velocity vector v = [₁ 2x+y t 2x + 3y +1 4]. Find the position of the object at time t if the initial position of the object is the point (1,1).
. An object is moving with velocity vector v = [₁ 2x+y t 2x + 3y +1 4]. Find the position of the object at time t if the initial position of the object is the point (1,1).
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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![15. An object is moving with velocity vector
2x + y-t
2x + 3y +t
V
= [2x
7].
Find the position of the object at time t if the initial
position of the object is the point (1,1).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9df5ea4d-d41d-48d9-814d-0c81056ad1f7%2F6aba294f-4d30-4760-b393-e1d68a98b44a%2Fs088blf_processed.png&w=3840&q=75)
Transcribed Image Text:15. An object is moving with velocity vector
2x + y-t
2x + 3y +t
V
= [2x
7].
Find the position of the object at time t if the initial
position of the object is the point (1,1).
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Step 1: Write the given data
VIEWStep 2: Construct a matrix equation using the given data
VIEWStep 3: Determine the eigenvalues of the coefficient matrix A
VIEWStep 4: Determine the corresponding eigenvectors
VIEWStep 5: We take a substitution into the equation ( iii)
VIEWStep 6: With the help of initial condition , determine the position vector
VIEWStep 7: Find the required position vector at time t
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