Differential Equations and The - Braun, Martin 7579 · Problem 5

A Mathematical Introduction to Fluid Mechanics — Braun, Martin 7579

Mathematics — Calculus · gonorrhea-equilibrium-asymptotic-stability

Problem

Assume that

a_1 a_2 < b_1 b_2 c_1 c_2

. Prove directly, using Theorem 2 of Section 4.3, that the equilibrium solution

x = x_0

y = y_0

of (1) is asymptotically stable. Warning: The calculations are extremely tedious.