I have Yukon gigabit ETH0 that is active. I can see and interact with the home network (windows pc's), but I can not connect to the Internet.

I have a cable modem connected to a router all pc's are connected to the router. I can connect to the internet from each of the other pc's.

I am using DCHP.

Check networking setting under windows, and set the same for linux, including IP address, gateway, route, and so forth.

Post up the outputs of:
$ /sbin/ifconfig eth0
(this contains your IP address, etc)
and
$ /sbin/route
(this should show your default gateway)
and
$ cat /etc/resolv.conf
(this holds your DNS servers)

Some useful example commands:
To set your IP address to 192.168.0.10, subnet etc:
# ifconfig eth0 192.168.0.10 broadcast
192.168.0.255 netmask 255.255.255.0
To set your gateway as 192.168.0.254:
# /sbin/route add -net default gw
192.168.0.254 netmask 0.0.0.0 metric 1
Try pinging google via IP (216.239.59.99),
if you can then chances are all you need to do is to put your ISPs DNS servers into
/etc/resolv.conf, eg:
search .
nameserver 158.43.240.3

"...and set the same for linux, including IP address..."
Er...I'm sure you're aware that you don't want to use exactly the same IP address as is being used on another machine, just one that is in the same subnet.

Have a Linux Problem
Linux Forum - Do you have a Linux Question?

Linux Books
Linux Certification, System Administration, Programming, Networking Books

Linux Home: Linux System Administration Hints and Tips