Let a system be given by dx = (a – x) x² dt where a is a real number. (3.1) How should a be chosen to make x = 2 an equilibrium point? (3.2) How should a be chosen to guarantee that every solution starting with xo < 0 will decrease?

Let a system be given by dx = (a – x) x² dt where a is a real number. (3.1) How should a be chosen to make x = 2 an equilibrium point? (3.2) How should a be chosen to guarantee that every solution starting with xo < 0 will decrease?

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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