a. Find the solution of the given initial value problem. G b. Draw the corresponding trajectory in x1x2x3-space. c. Sketch the graph of x₁ versus f. 10 O x' = 3 1 0 x, x(0) = 62) 2 -30
a. Find the solution of the given initial value problem. G b. Draw the corresponding trajectory in x1x2x3-space. c. Sketch the graph of x₁ versus f. 10 O x' = 3 1 0 x, x(0) = 62) 2 -30
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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Transcribed Image Text:In each of Problems 9 and 10:
a. Find the solution of the given initial value problem.
Gb. Draw the corresponding trajectory in x₁x2x3-space.
e. Sketch the graph of x₁ versust.
/10
1
3 6
9. x'= -4
O
9)x
0 x, X(0)
2
2
-30
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Step 1: Compute the eigenvalues of the matrix.
VIEWStep 2: Compute the eigenvector.
VIEWStep 3: Compute the eigenvector.
VIEWStep 4: Apply the initial condition.
VIEWStep 5: Determine the required solution to the system.
VIEWStep 6: Trajectory of the solution obtained above.
VIEWStep 7: Graph of the solution x_1 versus t.
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