Mathematics

Problem

A slope field for

\dfrac{dy}{dx}=x^{2}-y^{2}

is to be drawn at every lattice point

(x,y)

with integer coordinates satisfying

-2\le x\le 2

and

-2\le y\le 2

. How many of these points will produce horizontal line segments (segments with slope zero)? a)

5

9

8

10