1. Write down the system of differential equations for the gradient flow associated to V (x, y) =xy – x³.2. Draw a global phase portrait for this system. Include the directions of flow on all nullclinesand on the level curve V = 0. Clearly show the local phase portrait for each fixed point.

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Answered: 1. Write down the system of…

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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1. Write down the system of differential equations for the gradient flow associated to V (x, y) : xy – x3.