Solved: Verify that the indicated function is an explicit solution of the given differential equation

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Verify that the indicated function is an explicit solution of the given differential equation. Assume an appropriate interval I of definition for the solution.

2𝑦’+𝑦=0;,𝑦=𝑒-𝑥2

When 𝑦=𝑒-𝑥2

𝑦’=

Thus, in terms of 𝑥,

2𝑦’+𝑦=

◻

+𝑒-𝑥2 I need only the answer of y’

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