I reviewing for my final and stuck on this question.

dy/dx=y^2/x^2

here is my work

dy/y^2=dx/x^2, integrading both sides i get

-1/y=-1/x+c, i then multiple each side by negative -1 to get

1/y=1/x-c, then multiplying by y i get

1=(1/x-c)y, dividing by 1/x-c i get

1/(1/x-c)=y, but this is not one of the options for my solution, what am i doing wrong?