Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.
-$$y ^ { \prime } = y - e ^ { x } - 1 , y ( 1 ) = 2 , d x = 0.5$$
A) y1 = 1.6409, y2 = 0.2704, y3 = -5.3889
B) y1 = 2.1409, y2 = 1.5704, y3 = -5.0389
C) y1 = 0.6409, y2 = -2.3296, y3 = -6.0889
D) y1 = 1.1409, y2 = -1.0296, y3 = -5.7389

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The Answer of Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.
-$$y ^ { \prime } = y - e ^ { x } - 1 , y ( 1 ) = 2 , d x = 0.5$$
A) y1 = 1.6409, y2 = 0.2704, y3 = -5.3889
B) y1 = 2.1409, y2 = 1.5704, y3 = -5.0389
C) y1 = 0.6409, y2 = -2.3296, y3 = -6.0889
D) y1 = 1.1409, y2 = -1.0296, y3 = -5.7389

Use Euler's Method to Calculate the First Three Approximations to the Given