The differential equation satisfying all the curves `y = ae^(2x) + be^(-3x)`, where a and b are arbitrary constants, is

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

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

Find the differential equation of the family of curves y=Ae^(2x)+Be^(-2x), 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 for the family of the curves y^(2)=a(b^(2)-x^(2)), where a and b are arbitrary constants.

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

The differential equation satisfied by family of curves y = Ae ^(x)+Be ^(3x) + Ce^(5x) where A,B,C are arbitrary constants 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 = p cos (ax) + q sin (ax) , where p , q are arbitrary constants , is :