Apentix/AP Calculus AB/Unit 7: Differential Equations/Question

AP Calculus ABeasymcq1 pt

What is the value of $y(1)$ for the particular solution of $\dfrac{dy}{dx} = y$ that satisfies $y(0) = 2$ ?

A.

2e

B.

e^2

C.

2 + e

D.

3

Explanation

Core Concept

The solution is $y = 2e^x$ , so $y(1) = 2e^{1} = 2e$ .

Correct Answer

A $2e$

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