Form the differential equation from the following primitives where constants are arbitrary:`y=a x^2+b x+c`

Form the differential equation from the following primitives where constants are arbitrary: y^2=4a x

Form the differential equation from the following primitives where constants are arbitrary: y^(2)=4ax

Form the differential equation from the following primitives where constants are arbitrary: xy=a^(2)

Form the differential equation from the following primitives where constants are arbitrary: y=ax^(2)+bx+c

Form the differential equation from the following primitives where constants are arbitrary: y=c x+2c^2+c^3

Form the differential equation from the following primitive where constant is arbitrary: x y=a^2

Form the differential equation from the following primitives where constants are arbitrary: y=cx+2c^(2)+c^(3)

Form the differential equation from y= a cosec x by elliminating the arbitrary constant.

Form the differential equation corresponding to y^2=a(b-x)^2 ,where a and b are arbitrary constant.