Determine If the Given Function Y = F(x) Is a Solution

question 75

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
- $\begin{array} { l } y ^ { \prime } - y = 7 e ^ { x } \\y = e ^ { 7 x } + 7 x e ^ { x }\end{array}$

---

Definitions:

Solitary Tract

A bundle of nerve fibers in the brainstem involved in transmitting sensory information, particularly from the internal organs.

Cranial Nerves

The 12 nerve pairs that control sensory and motor functions of the head, neck, and internal organs.

Sensory Experience

The interpretation of sensory information (touch, taste, smell, sight, and sound) to form a unique personal experience or perception.

Cognitive Interpretations

The mental processes involved in perceiving, recognizing, and understanding thoughts, behaviors, and events, often influencing how individuals react to their environment.