euer
your
Possessive pronoun of the 2nd person plural ('ihr'). It expresses that something belongs to or is associated with a group of people.
Ist das euer Hund, der da im Garten bellt?
Is that your dog barking there in the garden?

your
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your
Possessive pronoun of the 2nd person plural ('ihr'). It expresses that something belongs to or is associated with a group of people.
Ist das euer Hund, der da im Garten bellt?
Is that your dog barking there in the garden?

A special feature of 'euer' (your) is that the 'e' before the 'r' often drops when an ending is added. For example, 'euer' becomes 'eure' or 'eurem'.
Das ist euer Auto.
That is your car.
'Euer' (your) is the possessive pronoun for the personal pronoun 'ihr' (you, plural). It indicates that something belongs to the group addressed with 'ihr'.
Kinder, habt ihr euer Spielzeug aufgeräumt?
Children, have you tidied up your toys?
The form of address 'Euer' (Your), e.g. 'Euer Majestät' (Your Majesty), is outdated. Today you find it almost only in historical films, books, or fairy tales when speaking about kings or nobles.
„Euer Gnaden, der Bote ist eingetroffen“, sagte der Diener.
'Your Grace, the messenger has arrived,' said the servant.
you / her / their
'ihr' and 'euer' are often connected to a group of people being addressed. You use 'ihr' when you are speaking directly to several people and they are the subject: 'ihr kommt' (you are coming). 'euer', on the other hand, shows possession or belonging for this group: 'euer Auto' (your car). What is confusing is that 'ihr' can also mean possession, but then it refers to a female person or to several other people, not to the group being addressed. If you would say 'du' to several people, the possessive form for that is 'euer'.

Ist euer Hund heute wieder im Park?
Is your dog back in the park today?
Ihr könnt nach dem Essen noch im Garten bleiben.
You can stay in the garden after dinner.