[" The family of curves "],[y=e^(x)(A cos x+B sin x)" represents the "],[" differential equation "]

Family of curves y=e^x(A cos x + B sinx) represents the differential equation :

The differential equation of the curve y=e^(x) (a cos x + b sin x) representing the given family of curves where a and b are costants , is

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

The differential equation of the family of curves y=e^(2x)(a cos x+b sin x) where, a and b are arbitrary constants, is given by

The differential equation of the family of curves y=e^(2x)(a cos x+b sin x) where, a and b are arbitrary constants, is given by

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

The equation of family of a curve is y^(2)=4a(x+a), then differential equation of the family is