AP Calculus ABmediummcq1 pt

The general solution of dy/dx = 2y is:

A.y = 2x + C
B.y = Ce^(2x)
C.y = 2eˣ + C
D.y = Ceˣ

Explanation

Core Concept

Separating variables: dy/y = 2dx. Integrating: ln|y| = 2x + C₁. So y = Ce^(2x) where C = e^(C₁).

Correct Answer

By = Ce^(2x)

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