Use the Lyapunov function of the form V(x, y) fixed point of the following system: ax² + by² to show (0,0) is an asymptotically stable i = −³+2ry²2 j=-g

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A: Solution :-

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A: Solution:-

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Q: -2 (a) Consider the functions f(x) = 100 – zª and F(x) = [*¸ ƒ(t) dt. i. Write a simplified form of…

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Q: Sketch the graphs of the following:

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Q: Evaluate the and Pa x= x= KP, where KIEN, la measure аге of POVEZ 9+0 relatively primes}

A: The given set is  x:x=kplq, where k,l∈ℕ;  p,q∈ℤ; q≠0 and p,q are relatively primes To evaluate the…