Identify Equilibrium Values and Determine Which Are Stable and Which $$\frac { d y } { d x } = y ^ { 2 } - 5 y$$

question 77

Multiple Choice

Identify equilibrium values and determine which are stable and which are unstable.
- $$\frac { d y } { d x } = y ^ { 2 } - 5 y$$

• A) y = 0 and y = 5 are unstable equilibrium values.
• B) y = 0 is a stable equilibrium value and y = 5 is an unstable equilibrium.
• C) y = 5 is a stable equilibrium value and y = 0 is an unstable equilibrium.
• D) There are no equilibrium values.

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Definitions:

Blood-Brain Barrier

A semipermeable barrier between the brain's blood vessels and the brain tissue that prevents certain substances from passing through.

Astrocytes

Star-shaped glial cells in the brain and spinal cord involved in biochemical support of endothelial cells and repair processes in the central nervous system.

Microglia

Glial cells that originate in the blood, aid in cell repair, and scavenge debris in the nervous system.

Astrocytes

Star-shaped glial cells in the brain and spinal cord that play a crucial role in supporting neurons, forming blood-brain barrier, and regulating neurotransmitters.