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5. Consider the system of differential equations dr 3r - 2y dt dy = 2.r + 3y dt a. Find the general real solution to the system by finding the eigenvalues and eigenvectors. / b. Sketch the phase portrait. / c. Classify the system by stating whether the origin is a stable or unstable node, stable or unstable spiral, stable center, or saddle point. /

5. Consider the system of differential equations dr 3r - 2y dt dy = 2.r + 3y dt a. Find the general real solution to the system by finding the eigenvalues and eigenvectors. / b. Sketch the phase portrait. / c. Classify the system by stating whether the origin is a stable or unstable node, stable or unstable spiral, stable center, or saddle point. /

Advanced Engineering Mathematics
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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5. Consider the system of differential equations dr 3r 2y dt dy = 2.r + 3y dt a. Find the general real solutiọn to the system by finding the eigenvalues and eigenvectors. / b. Sketch the phase portrait. / c. Classify the system by stating whether the origin is a stable or unstable node, stable or unstable spiral, stable center, or saddle point. / 6. Compute the Laplace transform or inverse Laplace transform using the table and theorems of Laplace transforms. / Be +2 cos 4t + a
Transcribed Image Text:5. Consider the system of differential equations dr 3r 2y dt dy = 2.r + 3y dt a. Find the general real solutiọn to the system by finding the eigenvalues and eigenvectors. / b. Sketch the phase portrait. / c. Classify the system by stating whether the origin is a stable or unstable node, stable or unstable spiral, stable center, or saddle point. / 6. Compute the Laplace transform or inverse Laplace transform using the table and theorems of Laplace transforms. / Be +2 cos 4t + a
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