2005 toytoa tundra drops in and out of overdrive when shfter is touched

check here...

https://www.google.com/search?q=2005+ford+mustang+overdrive+flashing&rlz=1C1CHBD_enUS885US885&oq=2005+ford+mustang+overdrive+flashing&aqs=chrome..69i57j0i22i30j0i390i650l2.6288j0j4&sourceid=chrome&ie=UTF-8

If it is a fuse by itself then the manual will show you.

https://www.manualslib.com/

2005 Tundra spark plug confusion - Tundra Solutions

www.tundrasolutions.com/...tundra/187079-2005-tundra-spark-plug-con...
Mar 20, 2010 - 9 posts - ‎6 authors I have a 2005 DC 4x4 4.7 which is due for spark plugs. I read about ... The spark plug gap spec for the 4.7L 2UZFE is .032. The V6, IIRC, is .044 ...

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2004 2006 toyota tundra factory service repair manual

usually on the end of the cruise control button(lever)..but look at transmission fluid levels add if low..overdrive is the first gear you loose when fluid levels drop..

This is normal on newer vehicles. The transmission temperature is monitored and overdrive is held off until the transmission is up to temp. Nothing unusual or wrong with this. My Tundra does the same thing. The trans temp gauge gets to about the 1/4 mark before the overdrive kicks in.

I’m happy to assist further over the phone at https://www.6ya.com/expert/jeremy_d728a59f986299fa

This is like a check engine light for your transmission. Something is slipping or out of its values. Get it checked out with a code reader.

was the battery fully charged before installing it ? if it ran good before you installed the battery then it has to be your new battery at fault ?? unless i missed something here .. did you clean all posts inside the battery cables ? holler if you need more

a solenoid problem if its an automatic transmission,if its a manual(with clutch)then its probably the syncros bad

I've seen this before.....check the switch harness where it makes the bend from the gear selector down the column....its part of the O.D. switch...you might have to pull the knee bolster (panel) I think the wires break from movement of the shifter