Related על ביצה 37:14

Said Rabbi Shimon ben Elazar, Beit Shammai and Beit Hillel did not disagree on whether the burnt offerings that are brought daily [to the Temple] should only be brought from non-consecrated [animals], nor on whether [with respect to] peace offerings that are brought on the other days of the year (i.e., other than Festival days), that if one wants to rely upon [animals from] tithes, he may so rely. What they disagreed on was in regards to the Festival offerings [brought on] a Yom Tov itself. For Beit Shammai said, all of these must be brought from non-consecrated [animals], and Beit Hillel said, one brings an obligatory offering from non-consecrated [animals], but [thereafter] if he wants to rely upon tithes, he may so rely, and on the other days of the year, he brings obligatory offerings from non-consecrated [animals].