Dodge Neon radio seems to be working, however there is no sound

You have but one choice pull the unit out and send it in for repair, they do not sell parts or provide repair & troubleshooting information to the public, approved factory repair stations only.

Depend son which radio you have. One has a set button. On it press set then the number you want to store the station on. On the other radio press and hold the preset button.

Why are all my radio stations static? ' Yahoo Answers

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1. Connect the FM antenna and the AM loopantenna at the back of the unit. Rotate the AM loop for better reception.
2. Press AM/FM.
3. Tune a station by pressing TUNER+/-repeatedly until the desired station is found.Alternatively, you can press and hold thesame buttons down for about one second toactivate the automatic search function. Inthis mode the unit will automatically tunefrequencies until it finds a station.
4. Repeat step 3 to tune to another radio station.
5. Press AM/FMto select between FM and AM.Storing Radio Stations

The unit can store up to 40 radio stations (30 preset stations for FM and 10 preset stations for AM) in its memory. You can enter every single radio station yourself or the unit can store all available radio stations automatically in ascending order

Automatic Preset Programming
1. Press AM/FM to enter the AM/FM mode.
2. Press and hold AM/FM for two seconds to start automatic preset programming.
3. Radio frequencies will be browsed and radiostations stored automatically. When all the available radio stations are stored or all 40(30 preset stations for FM and 10 preset stations for AM) memory locations are full,the auto preset programming function will stop.

Manual Preset
1. Tune to a radio station (see "Manual tuning"for details).
2. Press MEMORY. While the Program Preset number is still flashing, input your desired preset number using the numeric buttons or press CH+/-, then press MEMORY to store it.

Retrieving Preset Stations
1. Press AM/FM to enter the Tuner mode.
2. Press CH +/- to search up or down for thepreset stations or directly press the numeric buttons.

Try replacing the fuses. One of them may have burnt out.

Sounds like you have an internal short in the stereo. Or could be that the face of your stereo is worn out too. Get another radio.

have the fault codes read
computers do not lie --they report what they know as fact

unhook negitive connection then positive connection, then remove hold down bolt and bracket and remve battery, you are going to have to reset clock,and preset radio stations,good luck.

see here  for the Neon 2001 - 2008 

http://www.torbaycarstereo.co.uk/chrysler_p05091610ab.html

or if not try here

http://www.radio-code.co.uk/code-entry-help-Chrysler.htm

check the antenna connection. it may be loose.