verify that (0,0) is a critical point, show that the system is locally linear, and discuss...

 

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verify that (0,0) is a critical point, show that the system is locally linear, and discuss the type and stability of the critical point (0,0) by examining the corresponding linear system. 1. dx/dt = x-y², dy/dt =x-2y+x² verify that (0,0) is a critical point, show that the system is locally linear, and discuss the type and stability of the critical point (0,0) by examining the corresponding linear system. 1. dx/dt = x-y², dy/dt =x-2y+x²

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To verify that 00 is a critical point we need to check if the systems derivatives evaluated at that ... View the full answer