The Fitzhugh-Nagumo model for the electric impulse in a neuron states that, in the absence of relaxation effects, the electric potential, v(t), in a neuron obeys the differential equation dv dt − v(v² − (1 + a)v + a) =-V where a is a constant such that 0 < a < 1. Find and classify all equilibrium solutions and provide a phase line summarizing behavior of v(t). Hint: While the quadratic formula can be used, you can proceed more quickly by factoring!

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