4. (20) Solve the following initial-value problem, determine the type of the equilibriumsolution (0,0) , and sketch a phase portrait:dx-dtdy- y,y (0) = 1с —dt||

Answered: Image /qna-images/answer/282806f7-cd5c-4bbb-a2e3-4a0d2b794212.jpg

Answered: 4. (20) Solve the following…

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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4. (20) Solve the following initial-value problem, determine the type of the equilibrium solution (0, 0), and sketch a phase portrait: dx —х — 4у, х (0) — 4 dt dy с — У, y (0) = 1 dt