Question 1030556
By "a differential equation that is a function of x only", I will assume that you meant {{{dy/dx = f(x)}}}.
Suppose that F(x) is an antiderivative of f(x), or that {{{y = int(f(x), dx)}}}, so that y = F(x) + c, for arbitrary constants c.

This means that the general solution is a family of curves that are just vertical copies of any  one of them.

This implies that all are false except for the last one:  Will produce a slope field with columns of parallel tangents.