You are given the following inhomogeneous system of first-order differential equations for x(t) and y(t) in matrix form: x ̇ = 2x + y + 3 et , y ̇ = 4x − y What is the long-term behaviour of this particular solution as t becomes large? Does the ratio y/x tend to a fixed number, and if so what number?

You are given the following inhomogeneous system of first-order differential equations for x(t) and y(t) in matrix form: x ̇ = 2x + y + 3 et , y ̇ = 4x − y What is the long-term behaviour of this particular solution as t becomes large? Does the ratio y/x tend to a fixed number, and if so what number?

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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