The Values Of $c$ That Make the System $\frac { d x } { d t } = 3 x + 2 y , \frac { d y } { d t } = - c x + y$

question 38

Multiple Choice

The values of $c$ that make the system $\frac { d x } { d t } = 3 x + 2 y , \frac { d y } { d t } = - c x + y$ stable are

• A) \(c > - 3 / 2\)
• B) \(c < - 3 / 2\)
• C) It is stable for all values of \(c\) .
• D) It is unstable for all values of \(c\) .
• E) \(c > 0\)

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Definitions:

Guard Cells

Pairs of cells surrounding stomata in plant leaves and stems, regulating gas exchange and water loss by controlling the opening and closing of stomata.

Epidermis

The outermost layer of cells covering an organism, particularly the surface epithelium of the skin or outer layer of leaves and other plant organs.

Parenchyma

A type of living plant tissue consisting of relatively unspecialized cells with thin cell walls that function in photosynthesis, storage, and as the site of many metabolic processes.

Tracheids

Tracheids are elongated cells in the xylem of vascular plants that serve in transport and structural support, facilitating the flow of water.