Statement 1 : The differentia equation o...

Statement 1 : The differentia equation of the family of curves represented by`y=Ae^x` is given by`dy/dx=y` Statement 2 : `(dy)/(dx)=y` is valid for every member of the given family.

Similar Questions

Explore conceptually related problems

The differential equation of the family of curves represented by the equation x^(2)y=a is

Obtain the differential equation of the family of curves represented by y=Ae^x+Be^-x+x^2 , where A and B are arbitrary constants.

Show that the differential equation of the family of circles having their centres at the origin and radius 'a' is : x+y (dy)/(dx)=0 .

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

The equation of the trajectories which is orthogonal to the family of curves cos y=ae^(-x) is