The differential equation representing the family of curves `y^2=2c(x+sqrt(c)),` where `c` is a positive parameter, is of (a) order 1 (b) order 2 (c) degree 3 (d) degree 4

Form the differential equation representing the family of curves y=A cos(x+B) where A and B are parameters.

Form the differential equation representing the family of curves y=A cos(x+B) where AS and B are parameters.

The differential equation of the family of curves cy ^(2) =2x +c (where c is an arbitrary constant.) is:

Form the differential equation of the family of curves represented by y^2=(x-c)^3 .

The differential equation which represents the family of curves y=c_(1)e^(c_(2^(x) where c_(1)andc_(2) are arbitary constants is

The degree of the differential equation corresponding to the family of curves y=a(x+a)^(2) , where a is an arbitrary constant 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

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 differential equaiotn which represents the family of curves y=C_(1)e^(C_(2)x) , where C_(1) and C_(2) are arbitrary constants, is

Find the differential equation whose solution represents the family : c (y + c)^2 = x^3