Answer:
Will produce 'a slope with columns of parallel tangents'.
Step-by-step explanation:
We have that the differential equation is a function of x only.
i.e. [tex]\frac{dy}{dx}=f(x)[/tex].
Let, F(x) be the anti-derivative if f(x) i.e. [tex]F(x)=\int f(x)[/tex]
So, the differential equation gives,
[tex]\frac{dy}{dx}=f(x)[/tex].
[tex]y=\int f(x)+c[/tex]
i.e. y = F(x) + c.
That means the general solution of the differential equation is a family of curves which are vertical copies of any one of them.
Hence, the differential equation that is a function of x only will produce 'a slope with columns of parallel tangents'.
