Differ with vs. Differ from

One differs with a person in the matter of opinion. 

I beg to differ with your interpretation. (matter of opinion)

The President also differed with members of Congress over this issue. (matter of opinion)

A person or thing differs from another in certain respects; it is unlike another in certain respects.

Delhi differs from Chennai in many ways. (in certain respects)

Laws on pollution differ widely from one country to another.