Description:
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Multiple connections to the same db is'n't possible.
As far as I have understood this is accepted in the documentation, but I consider it is as a bug. 
It is Quite commen that you want more than one connection to the same DB, isn't it.
E.G.: We need, at least two connections: One for de DB mutation in a  DB-transaction sequence (commit/Rollback) and a second connections for writing LOG-records. And you never want a ROLLBACK of an writen LOG-record.

I use MS-access, Oracle or DB2.

Reproduce code:
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odbc_Connect()

Expected result:
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You can have several connections to the same DB. And so that can set up each connection differently. (e.g. With or without autocommit)