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Login to the server and check the following files for errors /var/log/mysql/error.log, /var/log/mysql.log and /var/log/mysql.err to find the root cause of the issue.
You can try running the following command to restart the mysql server manually
sudo service mysql restart, please note that might be a temporary fix as you need to find what causes the mysql server to stop.
This is not a digital ocean problem. I would contact a person with knowledge of systems administration.