1- y?. 3. For the system xy (a) Sketch the nullclines and direction arrows. || 一中型出

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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dæ
1- y?.
3. For the system
dt
TY
(a) Sketch the nullclines and direction arrows.
(b) Find an energy function. Are there any places it doesn't exist?
(c) Show that your energy function is constant along the solutions to the system.
(d) Explain what your energy function says about the critical points.
(e) Sketch the general solution.
Transcribed Image Text:dæ 1- y?. 3. For the system dt TY (a) Sketch the nullclines and direction arrows. (b) Find an energy function. Are there any places it doesn't exist? (c) Show that your energy function is constant along the solutions to the system. (d) Explain what your energy function says about the critical points. (e) Sketch the general solution.
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