2 X + X2 , please use Theorem 4.5 to 9 1 + 5sin * ( ) = 3 X sin 5x cos v (7.1) -+-) Q4 (20 points). Given ( ) = 1 + 3x sin : + 5, sin X: () = 3 X sin 511x cos v (3,1)=(:-) prove that the equilibrium point at origin is unstable. 1 2
2 Xi t 1 ( (t 2 2 ()= x, + 3x, sin ? x2 + 5x, x2 sin ? x, x 2 ()=3x, sin ? x2 + x, - 5x* x, cos ? x, t ( 2 X = X 2 2 1 1 2 2 V(x,1)=6? -x) = 2 2
2 X + X2 , please use Theorem 4.5 to 9 1 + 5sin * ( ) = 3 X sin 5x cos v (7.1) -+-) Q4 (20 points). Given ( ) = 1 + 3x s
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2 X + X2 , please use Theorem 4.5 to 9 1 + 5sin * ( ) = 3 X sin 5x cos v (7.1) -+-) Q4 (20 points). Given ( ) = 1 + 3x s
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