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 y = c^(2) + c/x is

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

Statement 1: Order of the differential equation of the family of curves y=asinx+bcos(x+c) is 3.Statement 2: Order of the differential equation of a family of curves is equal to the number of independent arbitrary constants in the equation of family of curves. . (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

The order of the differential equation of family of curver 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