Consider the Differential Equation $\frac{d y}{d t}=g(y)$ The Graph of G(y)is Drawn Below

question 88

Multiple Choice

Consider the differential equation $\frac{d y}{d t}=g(y)$ .The graph of g(y) is drawn below.Which of the following are true? (Select all that apply.)

• A)y = 3 is a stable constant solution of \(\frac{d y}{d t}=g(y)\)
• B)y = 3 is an unstable constant solution of \(\frac{d y}{d t}=g(y)\)
• C)y = 18 is a stable constant solution of \(\frac{d y}{d t}=g(y)\)
• D)y = 18 is an unstable constant solution of \(\frac{d y}{d t}=g(y)\)

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Definitions:

Positive Charge

An electrical charge possessed by protons, which is opposite in sign to the charge carried by electrons.

Action Potential

A brief electrical impulse by which information is transmitted along the axon of a neuron.

Refractory Period

A time directly following stimulation in which a nerve or muscle is incapable of responding to more stimulation.

Synapse

The junction or region between the axon of one neuron and the dendrites or cell body of another, through which nerve impulses pass.