Song in Animation (copyright)

For my animation I chose a song which fits in with the tone of the animation, which is 'Raindrops Keep Falling on My Head' by B.J.Thomas. I realise that if I publish my animation to the public media I would have to get permission by the songwriter/musician that created the song, also if I used a cover of the song I would have to get permission from the person who did the cover and also again the songwriter/musician who created the song. Seen as though I'm not publishing my work to the public and that I'm just using it for educational purposes only it's okay to use the music I've chosen.