x' = x y' = 5x-4y
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
5. Consider the linear system of
(a) Find the solution of the system of equations, associated to the initial conditions
initial conditions x(0) = 3, y(0) = -2.
(b) What is the equilibrium point of the system, of what type is it?
(c) Draw a phase diagram describing the behavior of the solution around the
behavior of the solution around the equilibrium point.
Please explain as specific as possible step by step in order to understand how to solve it (do the mathematical operations (derivatives, integrals and differential equations) that correspond). Thank you.
Transcribed Image Text:x' = x
y' = 5x-4y
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