解決

cat /etc/*-release

shell - How to check OS and version using a Linux command - Unix & Linux Stack Exchange

実行例

Debian

PRETTY_NAME="Debian GNU/Linux 9 (stretch)"
NAME="Debian GNU/Linux"
VERSION_ID="9"
VERSION="9 (stretch)"
ID=debian
HOME_URL="https://www.debian.org/"
SUPPORT_URL="https://www.debian.org/support"
BUG_REPORT_URL="https://bugs.debian.org/"

CentOS

CentOS release 6.4 (Final)
CentOS release 6.4 (Final)
CentOS release 6.4 (Final)