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Consider the Autonomous Linear System Where a , B

Question 134

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Consider the autonomous linear system Consider the autonomous linear system   where a , b , c, and d are constant real numbers. Let p = a + d, q = ad - bc, and r =   - 4 q.If r > 0 and q < 0, then the fixed point at the origin is a saddle point. where a , b , c, and d are constant real numbers. Let p = a + d, q = ad - bc, and r = Consider the autonomous linear system   where a , b , c, and d are constant real numbers. Let p = a + d, q = ad - bc, and r =   - 4 q.If r > 0 and q < 0, then the fixed point at the origin is a saddle point. - 4 q.If r > 0 and q < 0, then the fixed point at the origin is a saddle point.

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