I'm stuck, please help with math

Question

The differential equation  .

I. will produce a family of quadratic functions.

II. will produce a family of linear functions.

III. will produce a family of exponential functions.

Options:

1)	I only
2)	II only
3)	III only
4)	None of these

Answer 1

The differential equation  .

Integrating this yields y = x² + C, which is a family of quadratic equations