Find the differential equation of the curves given by `y=Ae^(2x)+Be^(-2x)`, where A and B are parameters.

Find the differential equation of the family of circles x^(2) + y^(2) = 2ax , where a is a parameter .

y = ae^(3x) + be^(-2x)

Find the differential equation of the family of circles x^(2) + y^(2) = 2ay , where a is a parameter .

Find a differential equation which is satisfied by all curves y = Ae^(2x) + Be^(-(x)/(2)) , where A and B are non-zero constants .

From the differential equation representing the family of curves y = A cos (x + b) , where A and B are parameters .

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

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

The differential equation of the family of curves y^(2)=4a(x+a) is -

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

Find the differential equation of y = Ax + (B)/(x) , where A and B are arbitrary constants .