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AP® Calculus AB-BC

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Moderate

A Differential Equation Specific Solution

APCALC-ZYHYZS

Given the differential equation $\frac { dy }{ dx } ={ y }^{ 2 }$ and if $y=-1$ when $x=1$, find $y$ when $x=2$.

A

$y=-\cfrac{1}{2}$

B

$y=\cfrac{1}{2}$

C

$y=2$

D

$y=-2$