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=a x^2+b x+c

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=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 primitives where constants are arbitrary: y=cx+2c^(2)+c^(3)

Form the differential equation for the curve: y=Ax^2+Bx , where a and b are arbitrary constant.

Find the differential equation from the relation y=ax, where a is an arbitrary constant.