The differential equation of the curve `( x) / ( a-1) +(y ) /( a+1)=1` is given by :

The differential equation of the curve (x)/(c-1)+(y)/(c+1)=1 is

The differential equation of the curve x/(c-1)+y/(c+1)=1 is

The differential equation of the curve x/(c-1)+y/(c+1)=1 is

The differential equation of the curve x/(c-1)+y/(c+1)=1 is

The differential equation of the family of curves y^(2)=4xa(x+1) , is

If a is a prameter , show that the differential equation of the family of curves y = (a-x)/(ax+1) " is " (x^(2) +1) (dy)/(dx) + y^(2) + 1= 0 .