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 20

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 locally stable for all values of \(C\) .
• D) It is unstable for all values of \(C\) .
• E) \(c > 0\)

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Definitions:

Demand Curve

A visual depiction highlighting how the cost of a good influences the quantity that buyers seek.

Price

The amount of money required to purchase a good or service; it acts as a signal between sellers and buyers.

Consumer Surplus

The difference between what consumers are willing to pay for a good or service and what they actually pay, representing the benefit to consumers.