The Fitzhugh-Nagumo model for the electrical impulse in a neuron states that, in the absence of relaxation
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The Fitzhugh-Nagumo model for the electrical impulse in a neuron states that, in the absence of relaxation effects, the electrical potential in a neuron v(t) obeys the differential equation
where a is a positive constant such that 0 < a < 1.
(a) For what values of v is v unchanging (that is, dv/dt = 0)?
(b) For what values of v is v increasing?
(c) For what values of v is v decreasing?
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