Solve Round Your Results to Four Decimal Places $y ^ { \prime } = - y$

Solve. Round your results to four decimal places.
-Use the Euler method with dx = 0.2 to estimate y(3) if $y ^ { \prime } = - y$ and y(2) = -2. What is the exact value of y(3) ?

A) $\mathrm { y } \approx - 0.2554$ , exact value is -e
B) $\mathrm { y } \approx - 0.4554$ , exact value is $\mathrm { e } ^ { - 2 }$
C) $\mathrm { y } \approx - 0.0554$ , exact value is $- 2 \mathrm { e }$
D) $\mathrm { y } \approx - 0.6554$ , exact value is $- 2 \mathrm { e } ^ { - 1 }$