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.
- $\begin{array} { l } y ^ { \prime } - y = 7 e ^ { x } \\y = e ^ { 7 x } + 7 x e ^ { x }\end{array}$

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Definitions:

Eidetic Images

Vivid and detailed mental images that can be recalled with high precision, often referred to as photographic memory.

Long-Term Memory

The phase of the memory process that is characterized by the virtually unlimited capacity to store and retain information over extended periods.

Short-Term Memory

The faculty to maintain a minor amount of details in a condition of readiness and activeness for a short span.

Procedural

Procedural refers to a type of memory responsible for knowing how to perform tasks and skills, often carried out without conscious awareness.