Centos fails to launch mysql

(2) in the error message indicates the error number.
Issue the error command in order to know what the error number means.

%error2
OS error code 2: No such file or directory

In other words, there is no /tmp/mysql.sock.

Possible causes include:

Mysqld has not started.

You may want to check if mysqld is started using the ps command.

The location of the mysql.sock file used by the mysqld and mysql commands during startup is different.

Socket files used by the mysqld command can be found in mysqld --help-v | grep^socket.