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Answer :
Final answer:
The given differential equation dy/dx = (2x + 1)/(2y) is best classified as a Separable differential equation.The correct option is a.
Explanation:
The classification that best describes the given differential equation dy/dx = (2x + 1)/(2y) is a) Separable. This is because the equation can be manipulated such that all the y terms are on one side and all the x terms are on the other, allowing the equation to be separated into two integrals. The differential equation is not exact because no function f(x, y) exists such that df equals the given differential equation. It is not linear since the term involving y is not of the first degree (because of the 1/2y in the denominator).
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