Perseus analyses of δοῖεν:

δίδωμι (give freely): aor opt act 3rd pl (epic)
δίδωμι (give freely): aor opt act 3rd pl

LSJ entry

δίδωμι

δίδωμι, Il. 23.620, etc. (late δίδω POxy. 121 (iii A. D.)); late forms, 1pl. διδόαμεν v. l. in J. BJ 3.8.5, etc., 3pl. δίδωσι (παρα-) Id. AJ 10.4.1, etc.; but thematic forms are freq. used, esp. in Ep. and Ion., διδοῖς, διδοῖσθα, Il. 9.164, 19.270, διδοῖ Od. 17.350, Mimn. 2.16, Hdt. 2.48, Hp. Aër. 12 (ἀνα-), A. Supp. 1010, etc., διδοῦσι Il. 19.265 (always in Hom.), dub. in Att., Antiph. 156; imper. δίδου Thgn. 1303, Hdt. 3.140, E. Or. 642, δίδοι Pi. O. 1.85, Epigr. in Class.Phil. 4.78, Ep. δίδωθι Od. 3.380; inf. διδόναι, also διδοῦν Thgn. 1329, Ep. διδοῦναι Il. 24.425, Aeol. δίδων Theoc. 29.9; part. διδούς, Aeol. δίδοις Alc. Supp. 23.13: impf. ἐδίδουν -ους -ου, Ar. Eq. 678, Od. 19.367, 11.289 (Ep. δίδου Il. 5.165), etc.; 3pl. ἐδίδοσαν Hdt. 8.9, etc., ἐδίδουν (v.l. ἐδίδων) Hes. Op. 139, D.H. 5.6 codd. (ἀπ-), also ἔδιδον prob. in h.Cer. 437, δίδον ib.328; Ep. iter. δόσκον Il. 14.382: fut. δώσω 14.268, etc., Ep. διδώσω Od. 13.358, 24.314; inf. δωσέμεναι Il. 13.369: aor. 1 ἔδωκα, used only in ind., Od. 9.361, etc., Ep. δῶκα Il. 4.43: aor. 2 ἔδων, used in pl. ind. ἔδομεν ἔδοτε ἔδοσαν (Lacon. ἔδον IG 5(1).1B 1), and in moods, δός, δῶ, δοίην, δοῦναι, δούς; Ep. forms of aor., subj. 3sg. δώῃ, δώῃσι, δῷσι, Il. 16.725, 1.324, Od. 2.144; 3sg. δώη, Boeot. δώει SIG 2858.17 (Delph.), IG 7.3054 (Lebad.), δοῖ PPetr. 2.p.24; 1pl. δώομεν Il. 7.299, Od. 16.184, 3pl. δώωσι Il. 1.137; 3sg. opt. is written δόη UPZ 1.4, δοῖ IG 14.1488, etc.; inf. δόμεναι Il. 1.116, δόμεν 4.379 (also Dor., Ar. Lys. 1163 (ἀπο-) , δόμειν SIG 942 (Dodona)); Cypr. inf. δοϝέναι Inscr.Cypr. 135.5H. (also opt. δυϝάνοι ib. 6); Arc. part. ἀπυ-δόας IG 5(2).6.13 (Tegea); inf. δῶναι Schwyzer 666.2 (Orchom., iii B. C.), also in later Greek, BGU 38.13 (ii A. D.): pf. δέδωκα Pi. N. 2.8, etc.; Boeot. 3pl. ἀπο-δεδόανθι IG 7.3171.35 (Orchom.): plpf. ἐδεδώκει X. Cyr. 1.4.26:—Med. only in compds.:— Pass., fut. δοθήσομαι E. Ph. 1650, Is. 3.39, etc.: aor. ἐδόθην Od. 2.78, etc.: pf. δέδομαι Il. 5.428, A. Supp. 1041, Th. 1.26, etc.; 3pl. δέδονται E. Supp. 757: plpf. ἐδέδοτο Th. 3.109:—

Α. give freely, τινί τι Od. 24.274, etc.: in pres. and impf., to be ready to give, offer, Il. 9.519, Hdt. 5.94, 9.109, Ar. Fr. 100, X. An. 6.3.9, etc.; τὰ διδόμενα things offered, D. 18.119.

2. of the gods, grant, assign, κῦδος, νίκην, etc., Il. 19.204, 11.397, etc.; of evils, δ. ἄλγεα, ἄτας, κήδεα, etc., 1.96, 19.270, Od. 9.15, etc.; twice in Hom. in Pass., οὔ τοι δέδοται πολεμήϊα ἔργα not to thee have deeds of war been granted, Il. 5.428, cf. Od. 2.78; later εὖ διδόναι τινί give good fortune, provide well for . . , S. OT 1081, OC 642, E. Andr. 750: abs., of the laws, grant permission, δόντων αὐτῷ τῶν νόμων Is. 7.2, cf. Pl. Lg. 813c.

3. offer to the gods, ἑκατόμβας, ἱρὰ θεοῖσιν, Il. 12.6, Od. 1.67, etc.

5. Prose phrases, δ. ὅρκον, opp. λαμβάνειν, tender an oath, δοκεῖ κἂν ὀμόσαι εἴ τις αὐτῷ ὅρκον διδοίη Is. 9.24, cf. D. 39.3, Arist. Rh. 1377a8; δ. ψῆφον, γνώμην, put a proposal to the vote, propose a resolution, D. 21.87, 24.13: δ. χάριν, = χαρίζεσθαι, S. Aj. 1354, Cratin. 317; ὀργῇ χάριν δούς having indulged . . , S. OC 855; λόγον τινὶ δ. give one leave to speak, X. HG 5.2.20; δ. λόγον σφίσι deliberate, Hdt. 1.97; οὐκ, εἰ διδοίης . . σαυτῷ λόγον S. OT 583; δοῦναι, λαβεῖν λόγον, Arist. SE 165a27 (but δ. λόγον, εὐθύνας, render accounts, IG 12.91, al.): δ. δίκην or δίκας, v. δίκη: ἀκοὴν δ. λόγοις lend an ear to . . , S. El. 30, etc.; δ. ἐργασίαν give diligence, = Lat. dare operam, OGI 441.109 (Lagina, i B. C.), POxy. 742.11: c. inf., Ev.Luc. 12.58: abs., sc. πληγήν, λίθῳ δ. τινί PLips. 13 iii 3; ἐμβολὰς διδόναι, ram, of ships, D.S. 13.10.

3. διδόναι τινά τινι grant another to oneʼs entreaties, pardon him at oneʼs request, X. An. 6.6.31; διδόναι τινί τι forgive one a thing, condone it, E. Cyc. 296 (s. v. l.).

5. appoint, establish, of a priest, LXXEx. 31.6; δῶμεν ἀρχηγόν ib.Nu. 14.4; δ. τινὰ εἰς ἔθνος μέγα ib.Ge. 17.20; place, τινὰ ὑπεράνω πάντα τὰ ἔθνη ib.De. 28.1:—Pass., οἱ δεδομένοι, = Nethinim, ministers of the Temple, ib.Ne. 5.3; ἐδόθη αὐτοῖς ἵνα . . orders were given them that . . , Apoc. 9.5.

III. in vows and prayers, c. acc. pers. et inf., grant, allow, bring about that . . , esp. in prayers, δὸς ἀποφθίμενον δῦναι δόμον Ἄϊδος εἴσω grant that he may go . . , Il. 3.322; τὸν κασίγνητον δότε τυίδʼ ἴκεσθαι Sapph. Supp. 1.2; δός με τείσασθαι give me to . . , A. Ch. 18, cf. Eu. 31; also c. dat. pers., τούτῳ . . εὐτυχεῖν δοῖεν θεοί Id. Th. 422; θεοὶ δοῖέν ποτʼ αὐτοῖς . . παθεῖν S. Ph. 316, cf. OC 1101, 1287, Pl. Lg. 737b.

IV. Gramm., describe, record, Sch.Pi. P. 5.93, Sch.Il. 16.207.