The Solution Of $y ^ { \prime \prime } + x y y ^ { \prime } = 0 , y ( 0 ) = 0 , y ^ { \prime } ( 0 ) = 1$

Multiple Choice

The solution of $y ^ { \prime \prime } + x y y ^ { \prime } = 0 , y ( 0 ) = 0 , y ^ { \prime } ( 0 ) = 1$ for $y ( 0.1 )$ , using the Runge-Kutta method of order four, and using $h = 0.1$ , is

A) 0.0909
B) 0.09999
C) 0.09099
D) 0.09899
E) 0.08899