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

question 40

True/False

Determine if the given function y = f(x) is a solution of the accompanying differential equation.
- $\begin{array} { l } y ^ { \prime } + y = e ^ { 2 x } \\y = 2 e ^ { - x } + e ^ { 2 x }\end{array}$
A) Yes
B) No

• A) Yes
• B) No

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Definitions:

Ylide

A compound with opposite charges on adjacent atoms, typically consisting of a positively charged heteroatom adjacent to a negatively charged carbon.

Cyclohexanone Oxime

An organic compound resulting from the reaction of cyclohexanone with hydroxylamine, often used as an intermediate in the synthesis of caprolactam.

Clemmensen

A chemical reduction process that converts carbonyl groups in aldehydes or ketones to alkanes using zinc amalgam and hydrochloric acid.

Wolff-Kishner

A chemical reduction process that completely removes oxygen from a carbonyl group, converting it into a methylene group.