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For each of the following linear systems, find the type of critical point (0,0). You can use software to make necessary calculations. x + 4y y' = 2x + 3y ¹ (b) 3x₁ + 2x₂ -x1 + x₂ 7x-y 5x+y Some of the online resouces for drawing slope fields https://www.geogebra.org/m/Pd4Hn4BR or https://c3d.libretexts.org/DirectionField/index.html Phase portarait can be drawn on https://aeb019.hosted.uark.edu/pplane.html or http://scofield.site/teaching/demos/PhasePortrait2D.html

For each of the following linear systems, find the type of critical point (0,0). You can use software to make necessary calculations. x + 4y y' = 2x + 3y ¹ (b) 3x₁ + 2x₂ -x1 + x₂ 7x-y 5x+y Some of the online resouces for drawing slope fields https://www.geogebra.org/m/Pd4Hn4BR or https://c3d.libretexts.org/DirectionField/index.html Phase portarait can be drawn on https://aeb019.hosted.uark.edu/pplane.html or http://scofield.site/teaching/demos/PhasePortrait2D.html

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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For each of the following linear systems, find the type of critical point (0,0). You can use software to make necessary calculations. (a) I' y' x + 4y = 2x + 3y' (b) I₁ I' 3x₁ + 2x₂ -x1 + x2 2 (c) 7x-y 5x+y Some of the online resouces for drawing slope fields https://www.geogebra.org/m/Pd4Hn4BR. or https://c3d.libretexts.org/DirectionField/index.html Phase portarait can be drawn on https://aeb019.hosted.uark.edu/pplane.html or http://scofield.site/teaching/demos/PhasePortrait2D.html
Transcribed Image Text:For each of the following linear systems, find the type of critical point (0,0). You can use software to make necessary calculations. (a) I' y' x + 4y = 2x + 3y' (b) I₁ I' 3x₁ + 2x₂ -x1 + x2 2 (c) 7x-y 5x+y Some of the online resouces for drawing slope fields https://www.geogebra.org/m/Pd4Hn4BR. or https://c3d.libretexts.org/DirectionField/index.html Phase portarait can be drawn on https://aeb019.hosted.uark.edu/pplane.html or http://scofield.site/teaching/demos/PhasePortrait2D.html
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