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

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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) About Me  (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 dy%2Fdx+=+f%28x%29.
Suppose that F(x) is an antiderivative of f(x), or that y+=+int%28f%28x%29%2C+dx%29, 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.