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

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

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

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.

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

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

Which one of the following is the differential equation that represents the family of curves y=(1)/(2x^(2)-c) where c is an arbitrary constant ?

Write the differential equation representing the family of straight lines y=Cx+5, where C is an arbitrary constant.

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