Find the differential equation of ` y = Ax + (B)/(x)` , where A and B are arbitrary constants .

Find the differential equation from y = e^x (A cos x + B sin x) , where A and B are arbitrary constants.

Form the differential equation for the curve: y=Ax^2+Bx , where a and b are arbitrary constant.

Form the differential equation for the curve: y=Ax^2+Bx , where a and b are arbitrary constant.

Find the differential equation of the family of curves y= Ax+(B)/(x) , where A and B are arbitary constants.

The differential equation for y=Acosalphax+Bsinalphax where A and B are arbitrary constants is

Find the differential equation from y = e^x (A cos 2x + B sin 2x) , where A and B are arbitrary constants.

Form the differential equation corresponding to y^2=a(b-x)^2 ,where a and b are arbitrary constant.

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

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

Find the differential equation from the relation y=ax, where a is an arbitrary constant.