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

AP Calculus ABeasymcq1 pt

The general solution of $\dfrac{dy}{dx} = y$ is $y = Ce^x$ . Which of the following is the solution through the point $(0,3)$ ?

A.

y = 3e^x

B.

y = e^{3x}

C.

y = e^x + 3

D.

y = 3x + e^x

Explanation

Core Concept

Evaluating at $x=0$ gives $y = C = 3$ , so the particular solution is $y = 3e^x$ .

Correct Answer

A $y = 3e^x$

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