I reviewing for my final and stuck on this question.
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?