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AP® Calculus AB-BC

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Solving a Differential Equation

APCALC-BBTVBH

Which of the following is a solution to the differential equation $\cfrac{dy}{dx}=2xy$ with an initial condition of $\left ( -1,e^{2} \right )$?

A

$y=e^{x^{2}}$

B

$y=1+e^{x^{2}}$

C

$y=e^{x^{2}+1}$

D

$y=e^{x^{2}+3}$