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AP® Calculus AB-BC

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Euler's Method

APCALC-WMY1BI

Suppose $y=f(x)$ is a solution to the differential equation $\cfrac{dy}{dx}=x+y$ with the intitial condition that $f(0)=1$.

Use Euler's method to find an approximation for $f(1)$ using two steps of equal size.

A

$1$

B

$1.5$

C

$2$

D

$2.5$