Proto-Indo-European Roots

Root/Stem: *bheud-
Meanings:  to be awaken
Hellenic Greek peuthomai 'I learn'
Celtic Old Irish buide 'gratitude', Welsh bodd 'free will', Cornish both 'will'
Indic Sanskrit bodhayati 'he wakes'
Iranian Avestan baodayeiti 'he teaches'
Germanic Common Germanic *biudan, *budan 'to ask, to offer' > 
Gothic anabiudan 'to order', farbiudan 'to forbid', Old High German biotan 'to offer', Old Norse bjóða, Old English béodan, Old Saxon biodan 'to offer'
Baltic Lithuanian bude.ti 'to awake', bunda 'he is awaken', busti 'to wake up', Latin bauslis 'free gift', Old Prussian budé 'they are awaken', etbaudints 'cheerful'
Slavic Common Slavic *buditi < *bheud- 'to wake', *bude.ti < *budh- 'to be awaken' > 
Russian bdet' 'to be awaken', Bulgarian bd'a 'I am awaken', Czech & Serbo-Croatian bdim, Slovene buditi 'to wake up', Polish budzic', Lower Sorbian buz'is' 
Notes: The zero grade of ablaut gives *-u- in this root, a lot of cognates use derivatives from this very zero grade form. 
The Greek form is interesting for its interchanging of root consonants: according to phonetic laws, the IE *bheud- should have given Greek *pheutomai; the Greek form here goes back to *beudh- which looks rather strange because the Proto-language hardly had the phoneme *b at all. Gamkrelidze and Ivanov, however, suggest these two hypothetic forms were the two varieties of one root.