Windows DHCP server:

In Administrative Tools->DHCP
On the Scope properties:
On the DHCP IPV4 object properties:

Windows DNS server:
In Administrative Tools->DNS
On the zone properties:

On CentOS/RHEL linux clients requesting a dhcp address on eth0:

Create the file /etc/dhcp/dhclient-eth0.conf with the following command:
echo "send host-name \"`hostname -s`\";" > /etc/dhcp/dhclient-eth0.conf

That’s it! To confirm it’s working as expected:

Reboot the linux dhcp client. Then type cat /var/run/nm-dhclient-eth0.conf to verify dhclient-eth0.conf was used and merged into eth0′s running config.

Use nslookup from a network client

On the DNS server:
Check the applicable zone under “Forward Lookup Zones” for an “A” record for the linux client. Also, check the applicable network zone under the “Reverse Lookup Zones” for a PTR record for the linux client.

On the DHCP server:
Check “Address Leases” under the applicable scope