Question: The system x ' = - y y ' = - y - x ( x - 0 . 1 5 ) ( x -

The system
x'=-y
y'=-y-x(x-0.15)(x-2),>0
results from an approximation to the Hodgkin-Huxley equations, which model the transmission of neural impulses along an axon. Consider the trajectory that
leaves the critical point (2,0). Find the value of for which this trajectory ultimately approaches the origin as
Answer:
The system x'=-y y'=-y-x(x-0.15)(x-2),>0 results from an approximation to the Hodgkin-Huxley

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