Find the differential equation whose solution represents the family `xy=ae^(x)+be^(-x)`

Find the differential equation whose solution represents the family y=ae^(3x)+be^(x) .

Find the differential equation whose solution represents the family : c (y + c)^2 = x^3

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

The differential equation representing the family of curve y=mx is

The differential equation which represents the family of plane curves y=exp(cx) , is

Find the differential equation corresponding to the equation y=Ae^(2x)+Be^(-x) .

Write the order of the differential equation whose solution is y=acosx+b sin\ x+c e^(-x)dot

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.

Find the differential equation representing the family of curves y=-Acos 3x + B sin 3x .

Find the differential equation of xy = ae^x + be^(-x) .