Form the differential equation representing the family of curves given by `(x - a)^2 + 2y^2 = a^2`, where a is an arbitrary constant.

Form the differential equation representing the family of curve given by (x-a)^2+2y^2=a^2 ,a is a arbitrary constants.

Form a differential equation representing the given family of curves y=Ae^(2x)+Be^(-2x)

The differential equation representing the family of curves given by y=ae^(-3x)+b , where a and b are arbitrary constants, is a) (d^(2)y)/(dx^(2))+3(dy)/(dx)-2y=0 b) (d^(2)y)/(dx^(2))-3(dy)/(dx)=0 c) (d^(2)y)/(dx^(2))-3(dy)/(dx)-2y=0 d) (d^(2)y)/(dx^(2))+3(dy)/(dx)=0

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 corresponding to the curve y=mx

From the differential equation of the family of curves represented by y^2 = (x-c)^3

Form the differential equation corresponding to y=a x^2+b x+c

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