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

The differential equation y(dy)/(dx)+x=c represents

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

If c is a parameter, then the differential equation whose solution is y = c^(2) + c/x is

The differential equation which represents the family of curves y=c_1e^(c_2x) where c_1 and c_2 are arbitrary constants , is :

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

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

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

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