Answered: 5. The slope field for the system = 2r… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 31E

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5. The slope field for the system
de
= 2r + 6y
2r - 2y
dt
is shown to the right. The eigenvalues of the coefficient matrix are found to be
A = 4 and Az = -4 and their corresponding eigenvectors are V, (3, 1) and
Va = (1, -1), respectively.
(a) Determine the type of the equilibrium point at the origin.
(b) Calculate all straight-line solutions.
(c) Plot the z(t)- and y(t)-graphs for t 2 0 for the ICs: B= (3, 1).

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