The differential equation corresponding to the family of curves `y=e^x (ax+ b)` is

The differential equation corresponding to the family of curves given by y = a + be^(2x) + ce^(-3x) is

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

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

Find the differential equation corresponding to the family of curves represented by the equation y=Ae^(8x)+Be^(-8x) , where A and B are arbitrary constants.