Please show me example sentences with Differ . Tell me as many daily expressions as possible.

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Differ simply means "to be different", but it usually has a more formal or literary sense. It is often used in common phrases in English as well, such as "I beg to differ", which is the most common and politely expresses disagreement. As a verb, it is formed like many other verbs, e.g. differ, differs, differed, had differed, differing, etc.

Other examples are:
The gas prices of the two stations on this street often differ.
I understand your argument, but I have a differing consideration.
The numbers in our status report differ from what we see in our databases.
The weather today differed from what the weatherman said this morning.

Again, it isn't common to use this word, except in the phrase "I beg to differ", but this is how it would be used. In general, the most natural way to express the meaning would be to use "to be" + "different". Here are the same example sentences with this version:

The gas prices of the two stations on this street are often different.
I understand your argument, but I have a different consideration. (note the absence of "to be", because verbs ending in -ing can also be used as adjectives, as in this case)
The numbers in our status report are different from what we see in our databases.
The weather today was different from what the weatherman said this morning.