SOLUTION: A differential equation that is a function of x only will produce a slope field with parallel tangents along the diagonal will produce a slope field that does not have rows o

Question 1030556: A differential equation that is a function of x only
will produce a slope field with parallel tangents along the diagonal
will produce a slope field that does not have rows or columns of parallel tangents
will produce a slope field with rows of parallel tangents
will produce a slope field with columns of parallel tangents
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
By "a differential equation that is a function of x only", I will assume that you meant .
Suppose that F(x) is an antiderivative of f(x), or that , 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.
RELATED QUESTIONS
The differential equation dy/dx = y-3/x-3. produces a slope field with horizontal... (answered by robertb)

Beth has 2200 feet of fencing available to enclose a rectangular field. One side of the... (answered by lwsshak3)

Beth has 4500 feet of fencing available to enclose a rectangular field. One side of the... (answered by Fombitz)

A rectangular field will be fenced on all four sides. There will also be a line of fence (answered by Boreal,greenestamps)

Beth has 3,000 feet of fencing available to enclose a rectangular field. One side of the... (answered by josmiceli)

moving electric charge produces only an electric field. any of these, depending... (answered by Alan3354)

Prove that the tangents passing through the end points of a diameter of a circle are... (answered by ikleyn)

Use the "mixed partials" check to see if the following differential equation is exact. (answered by robertb)

I'm Having hard time solving this homework. Can anyone help? 2. Calculate the... (answered by oscargut)