Which of the Following Functions Are Solutions to the Differential $\frac { d y } { d x } = - 25 y$

question 83

Multiple Choice

Which of the following functions are solutions to the differential equation $\frac { d y } { d x } = - 25 y$ ? (Mark all correct answers)

• A) \(y = \sin ( 5 x ) + \cos ( 5 x )\)
• B) \(y = 5 \cos x - \sin x\)
• C) \(y = e ^ { x / 5 }\)
• D) \(y = e ^ { - x / 5 }\)

Grasp the concept of efficient markets and how investment capital flows.

Understand the impact of external economies of scale on industries.

Recognize the role of licensing and market restrictions on prices.

Understand the concept of implicit attitudes and their assessment.

---

Definitions:

Dependent Variable

In an experimental setup, the variable being tested and measured, which is expected to change as a result of manipulations to the independent variable.

Control Group

The group in an experiment or study that does not receive the treatment, used as a benchmark to measure the effects of the treatment.

Experimental Group

A group of participants in an experiment who are exposed to the variable under investigation to assess its effect.

APA's Ethical Guidelines

The principles and standards outlined by the American Psychological Association to guide professional behavior and decision-making in the field of psychology.