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

Form a differential equation of the family of the curves y^2 =4ax .

Form a differential equation of the family of the curves y^(2)=4ax

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

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

The differential equation of family of curves of y^(2)=4a(x+a) is

From the differential equation of the family of curves y=asin(x+b) , where a and b are arbitrary constants.

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

The differential equation representing the family of curve y=mx is

Find the differential equation of the family of curves y=Acosx+Bsinx , where A, B are parameters.

Form the differential equation of the family of curves represented by the equation (a being the parameter): (i) (2x+a)^2+y^2=a^2 (ii) (2x-a)^2-y^2=a^2 (iii) (x-a)^2+2y^2=a^2