Solve the Problem $y ^ { \prime } = x ^ { 2 } y ^ { 2 } , y ( 0 ) = 1$

Multiple Choice

Solve the problem $y ^ { \prime } = x ^ { 2 } y ^ { 2 } , y ( 0 ) = 1$ numerically for $y ( 0.2 )$ using $h = 0.1$

A) 1.0
B) 1.001
C) 1.01
D) 1.02
E) 1.002