Which of the Following Systems Are Autonomous? Select All That $\frac { d x } { d t } = x + y ^ { 2 } , \frac { d y } { d t } = 2 x - 3 y$

question 27

Multiple Choice

Which of the following systems are autonomous? Select all that apply.

• A) \(\frac { d x } { d t } = x + y ^ { 2 } , \frac { d y } { d t } = 2 x - 3 y\)
• B) \(\frac { d x } { d t } = x + t , \frac { d y } { d t } = 2 x - 3 y\)
• C) \(\frac { d x } { d t } = x + y , \frac { d y } { d t } = 2 x - 3 y\)
• D) \(\frac { d x } { d t } = 0 , \frac { d y } { d t } = 2 \sin x - 3 y\)
• E) \(\frac { d x } { d t } = t + 1 , \frac { d y } { d t } = 15 x - 4 y\)

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Definitions:

Covenants

Legally binding promises or agreements within contracts that stipulate actions that must be performed or refrained from by one or more parties.

Landlord and Tenant

The legal relationship between the owner of a property (landlord) and an individual or entity that rents the property (tenant), governed by a lease agreement.

Lease

A contractual agreement by which one party conveys property, services, or land to another for a specified time, in return for a periodic payment.

Tenancy in Common

A form of joint ownership or tenancy where each owner holds an individual, undivided interest in the property, and such interests can be of different sizes.