Form the differential equation representing the family of curves `y^2-2ay+x^2=a^2`, where a is an arbitrary constant.

Find the differential equation representing the family of curves y=a.e^(2x)+5 , where a is an arbitrary constant.

Form the differential equation representing the family of curves (y-b)^2=4(x-a) .

Find the differential equation representing the family of curves y=ae^(bx+5), where a and b are arbitrary constants.

Write the differential equation representing the family of curves y=mx, where m is an arbitrary constant.

Form the differential equation representing the family of curves y=a sin(x+b) where a,b are arbitrary constants.

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

Form the differential equation representing the family of curves ax+by=0 , when 'a' and 'b' are arbitrary constants.

Form the differential equation representing the family of curves given by (x-a)^(2)+2y^(2)=a^(2) where a is an arbitrary constant.

Find the differential equation of the family of curves (x+a)^2-2y^2=a^2 , where a is an arbitrary constant.

Find the differential equation corresponding to the family of curves y=c(x-c)^2 where c is an arbitrary constant.