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

question 13

Multiple Choice

Which of the following systems are linear? 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) \(\frac { d x } { d t } = t + 1 , \frac { d y } { d t } = 15 x - 4 y\)

---

Definitions:

Organized Crime

The planned and coordinated activities of individuals or groups engaged in illegal enterprises, such as drug trafficking, extortion, or money laundering, often with the intent of gaining power, money, or influence.

Pharmaceutical Executives

Senior professionals in the pharmaceutical industry responsible for strategic decision-making, operations, and the development and marketing of drugs.

Law Enforcers

Individuals or groups, typically part of the government, empowered to enforce laws, ensure public safety, and maintain order.

Politicians

People who are actively involved in politics, especially those holding or seeking elected offices, making decisions that affect public policy and governance.