Q3 of 462 Page 22

Form the differential equation from the following primitives where constants are arbitrary:
y = cx + 2c² + c³

On differentiating with respect to x, we get,

Putting this value of c in the given equation we get

Hence, is the differential equation corresponding to y = cx + 2c² + c³.

Form the differential equation corresponding to y = e^mx by eliminating m.

Form the differential equation from the following primitives where constants are arbitrary:

y² = 4ax

Form the differential equation from the following primitives where constants are arbitrary:

xy = a²

Form the differential equation from the following primitives where constants are arbitrary:

y = ax² + bx + c

Form the differential equation from the following primitives where constants are arbitrary:y = cx + 2c2 + c3