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Given the differential equation $\dfrac{dy}{dx}=\dfrac{y}{x} \ \text{and} \ y(-1)=2,$ use Euler’s method to approximate $y=-2$ using equal steps with size $0.5$.

A

$-\cfrac{2}{3}$

B

$-\cfrac{1}{3}$

C

$\cfrac{2}{3}$

D

$4$

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