Question: 2. Consider the system of equations ac' ( t ) = -203 (t) - 22 2 ( t) y ( t ) , y' (t)

2. Consider the system of equations ac' ( t ) = -203 (t) - 22 2 ( t) y ( t ) , y' (t) = 243(t) + 22(t)y(t). (a) Find a choice of parameters a, b, c such that the function r(t) = ax2(t) +ba(t)y(t) + cy?(t) satisfies the inequalities r (t) 2 0, r' (t) 2 0. (b) Make a conclusion about the stability of the equilibrium point x = 0, y = 0

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