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 $y ^ { \prime } = 1 + y ^ { 2 } , y ( 0 ) = 0 \text { at } x = 0.1$ is

A) $y _ { 1 } = 0.1015$
B) $y _ { 1 } = 0.115$
C) $y _ { 1 } = 0.105$
D) $y _ { 1 } = 0.10005$
E) $y _ { 1 } = 0.1005$