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

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

The differential equation of the family of curves y= c_(1)e^(x) +c_(2)e^(-x) is

Find the order of the differential equations of the following curves y=C_(1)sin^(2)x+C_(2)cos2x+C_(3)

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

The differential equation for the family of curves y=c sin x can be given by

The order of the differential equation of family of curves y=C_(1)sin^(-1)x+C_(2)cos^(-1)x+C_(3)tan^(-1)x+C_(4)cot^(-1)x (where C_(1),C_(2),C_(3) and C_(4) are arbitrary constants) is

Find the differential equation for the family of curve y= a sin^(-1) x + b cos^(-1) x .