Solve This Initial Value Problem:

A) $6 x^{2}-x y+8 y^{2}=0$

Solve this initial value problem:

A) $6 x^{2}-x y+8 y^{2}=0$
B) $6 x^{2}+x y+8 y^{2}=0$
C) $3 x^{2}-x y+4 y^{2}=0$
D) $3 x^{2}+x y+4 y^{2}=0$