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

The differential equation satisfying the curve (x^(2))/(a^(2)+lambda)+(y^(2))/(b^(2)+lambda)=1 when lambda begin arbitary uknowm, is (a) (x+yy_(1))(xy_(1)-y)=(a^(2)-b^(2))y_(1) (b) (x+yy_(1))(xy_(1)-y)=y_(1) ( c ) (x-yy_(1))(xy_(1)+y)(a^(2)-b^(2))y_(1) (d) None of these

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 differential equation for the family of curves y = c\ sinx can be given by

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

Consider the differential equation of the family of curves y^2=2a(x+sqrt(a)) , where a is a positive parameter.Statement 1: Order of the differential equation of the family of curves is 1.Statement 2: Degree of the differential equation of the family of curves is 2. (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

Form the differential equation of the family of curves y=asin(b x+c),\ a\ a n d\ c being parameters.

Find the order of the differential equation of the family of curves. y=asinx+bcos(x+c) , where a,b,c are parameters.

Form the differential equation of the family curves having equation y=(sin^(-1)x)^(2)+Acos^(-1)x+B .

The differential equation of the family of curves represented by y^3= cx+ c^3+ c^2-1 ,where c is an arbitrary constant is of :

The degree of the differential equation satisfying by the curves sqrt(1+x)-asqrt(1+y)=1, is ……..