AP Calculus ABmediummcq1 pt

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

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

Explanation

Core Concept

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

Correct Answer

Cy = Ce^(2x)

Practice more AP Calculus AB questions with AI-powered explanations

Practice Unit 7: Differential Equations Questions →
    The general solution of dy/dx = 2y is: | AP Calculus AB | Apentix