Differential equation of the family of curves `v=A/r+B ,` where `A` and `B` are arbitrary constants, is

The differential equation of the family of curves y=Ae^(x)+be^(-x) , where A and B are arbitrary constant is

The differential equation of the family of curves y=e^x(Acosx+Bsinx), where A and B are arbitrary constants is

Find the differential equation of the family of curves y=A e^(2x)+B e^(-2x) , where A and B are arbitrary constants.

The differential equation of the family of lines y = mx is :

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

The differential equation for the family of curve x^2+y^2-2a y=0, where a is an arbitrary constant, is

From the differential equation representing the family of curves y=nx, where n is an arbitrary constant.

Find the differential equation of the family of parabolas y^(2) = 4 ax where a is an arbitrary constant .