so you can see the battery after dark!
2002-2005
under the float bowl on the carburetor
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John Deere part number TY25878.
http://www.gardenland.com/pages/parts/viewbybrand/18/KawasakiEngine.aspx This will be much better http://jdpc.deere.com/jdpc/servlet/com.deere.u90490.partscatalog.view.servlets.HomePageServlet_Alt
Dead cell in the battery requiring a new battery. A light that is on pulling power from the battery. Relay stuck in the closed position. More than likely the battery has a dead cell.
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Group 26
Battery is 12 volt, U1 group
Most take a 6 volt battery.
On a battery tray in front of the operator's platform but still under the hood. Contact your local John Deere Dealer for a parts diagram.
If it is a model from the last fifty years it is a 12 volts battery.