Using the Improved Euler Method with a Step Size Of h

Multiple Choice

Using the improved Euler method with a step size of $h = 0.1$ , the solution of $y ^ { \prime } = 1 - y ^ { 2 } , y ( 0 ) = 0$ at $x = 0.1$ is

A) $y _ { 1 } = 0.095$
B) $y _ { 1 } = 0.995$
C) $y _ { 1 } = 0.95$
D) $y _ { 1 } = 0.00995$
E) $y _ { 1 } = 0.0995$