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

question 86

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Determine if the given function y = f(x) is a solution of the accompanying differential equation.
- y+y=e2xy=5ex+13e2x\begin{array} { l } y ^ { \prime } + y = e ^ { 2 x } \\y = 5 e ^ { - x } + \frac { 1 } { 3 } e ^ { 2 x }\end{array}

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Definitions:

Essential Contributions

Key or fundamental inputs or additions made by an individual or group that significantly impact a particular field or area of study.

Thorough Review

An exhaustive and detailed examination of a particular subject matter, involving critical evaluation of available literature and data.

Knowledge Development

The process of acquiring, creating, utilizing, and disseminating information and insights to advance understanding or expertise in a particular area.

Evolving Nature

Refers to the continuous and gradual change in characteristics of a certain entity over time, highlighting adaptability and growth.

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