If `y=ae^(3x)+be^(-2x)` represents family of curves, where a and b are arbitrary constant. Form the differential equation.

The differential equation representing the family of curves y^(2) = a(ax + b) , where a and b are arbitrary constants, is of

Form the differential equation representing the family of curves x/a+y/b=1 where a and b are arbitrary constants.

The differential equation of the family y = ae^(x) + bx e^(x) + cx^(2) e^(x) of curves, where a, b, x are arbitrary constant is

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

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

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

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

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

The differential equation of the family y = ae^(x) + bx e^(x) + cx^(2)e^(x) of curves where, a,b,c are arbitrary constants is