Perseus analyses of δυνήσεαι:

δύναμαι (to be able, strong enough): aor subj mid 2nd sg (epic)
δύναμαι (to be able, strong enough): fut ind mid 2nd sg (epic ionic)

LSJ entry

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δύνᾰμαι

δύναμαι [ῠ], 2sg. δύνασαι Il. 1.393, Od. 4.374, S. Aj. 1164 (anap.), Ar. Nu. 811 (lyr.), Pl. 574, X. An. 7.7.8, etc.; δύνῃ Carm.Aur. 19, also in codd. of S. Ph. 798, E. Hec. 253, Andr. 239, and later Prose, Plb. 7.11.5, Ael. VH 13.32; Aeol. and Dor. δύνᾳ Alc. Oxy. 1788 Fr. 15 ii 16, Theoc. 10.2, also S. Ph. 849 (lyr.), dub. in OT 696 (lyr.); δύνῃ is subj., Ar. Eq. 491, cf. Phryn. 337; Ion. 3pl. δυνέαται Hdt. 2.142; subj. δύνωμαι, Ion. 2sg. δύνηαι Il. 6.229 (δυνεώμεθα -ωνται as vv.ll. in Hdt. 4.97, 7.163); also δύνᾱμαι Sapph. Supp. 3.3, GDI 4952A 42 (Crete): impf. 2sg. ἐδύνω h.Merc. 405, X. An. 1.6.7; later ἐδύνασο Hp. Ep. 16 (v.l. ἠδ.), Luc. DMort. 9.1; Ion. 3pl. ἐδυνέατο Hdt. 4.110, al. (ἠδ- codd.): fut. δυνήσομαι Od. 16.238, etc.; Dor. δυνᾱσοῦμαι Archyt. 3; later δυνηθήσομαι D.C. 52.37: aor. ἐδυνησάμην Il. 14.33, Ep. δυν- 5.621; subj. δυνήσωνται Semon. 1.17, never in good Att., f. l. in D. 19.323: Pass. forms, Ep., Ion., Lyr., ἐδυνάσθην or δυνάσθην Il. 23.465, al., Hdt. 2.19, al., Pi. O. 1.56, Hp. Art. 48 (v.l. δυνηθείη), also in X. Mem. 1.2.24, An. 7.6.20; Trag. and Att. Prose ἐδυνήθην S. Aj. 1067, OT 1212 (lyr.), E. Ion 867 (anap.), D. 21.80,186: pf. δεδύνημαι D. 4.30, Din. 2.14, Phld. Rh. 1.261S.—The double augment ἠδυνάμην is Att. acc. to Moer. 175, but Ion. acc. to An.Ox. 2.374, and is found in codd. of Hdt. 4.110, al., Hp. Epid. 1.26.βʹ, al.; ἠδύνω is required by metre in Philippid. 16; but is not found in Att. Inscrr. before 300 B.C., IG 22.678.12, al., cf. ἠδύνασθε ib.7.2711 (Acraeph., i A.D.); both forms occur in later writers: ἠδυνήθην occurs in A. Pr. 208, and codd. of Th. 4.33, Lys. 3.42, etc.: δύνομαι is a late form freq. in Pap. as UPZ 9 (ii B. C.), al. [ῠ, exc. in δῡναμένοιο Od. 1.276, 11.414, Hom. Epigr. 15.1, and pr. n. Δῡναμένη, metri gr.]

I. to be able, strong enough to do, c. inf. pres. et aor., Il. 19.163, 1.562, etc.: fut. inf. is f.l. (πείσειν for πείθειν) in S. Ph. 1394, (κωλύσειν for κωλῦσαι) Plb. 21.11.13, etc.: freq. abs., with inf. supplied from the context, εἰ δύνασαί γε if at least thou canst (sc. περισχέσθαι), Il. 1.393: also c. acc. Pron. or Adj., ὅσσον δύναμαι χερσίν τε ποσίν τε 20.360; [Ζεὺς] δύναται ἅπαντα Od. 4.237; μέγα δυνάμενος very powerful, mighty, 1.276, cf. 11.414; δ. μέγιστον ξείνων Hdt. 9.9, etc.; μέγα δύναται, multum valet, A. Eu. 950 (lyr.); δ. Διὸς ἄγχιστα Id. Supp. 1035; οἱ δυνάμενοι men of power, rank, and influence, E. Or. 889, Th. 6.39, etc.; οἱ δυνάμενοι, opp. οἱ μὴ ἔχοντες, Democr. 255; opp. οἱ πένητες, Archyt. 3; δυνάμενος παρά τινι having influence with him, Hdt. 7.5, And. 4.26, etc.; δύνασθαι ἐν τοῖς πρώτοις Th. 4.105; δ. τοῖς χρήμασι, τῷ σώματι, Lys. 6.48, 24.4; ὁ δυνάμενος one that can maintain himself, Id. 24.12; of things, [διαφέρει] οἷς δύνανται differ in their potentialities, Plot. 6.3.17.

b. enjoy a legal right, δ. τῆς γεωργίας ἀπηλλάχθαι POxy. 899.31 (ii/iii A.D.), etc.

II. to be equivalent to, λόγοι ἔργα δυνάμενοι words that are as good as deeds, Th. 6.40: hence,

1. of money, to be worth, c. acc., ὁ σίγλος δύναται ἑπτὰ ὀβολούς X. An. 1.5.6, cf. D. 34.23: abs., pass, be current, Luc. Luct. 10.

b. avail to produce, οὐδένα καιρὸν δύναται brings no advantage, E. Med. 128 (anap.), cf. Pl. Phlb. 23d.

4. Math., δύνασθαί τι to be equivalent when squared to a number or area, τοῖς ἐπιπέδοις ἃ δύνανται in the areas of which they [the lines] are the roots, Pl. Tht. 148b; ἡ ΒΓ τῆς Α μεῖζον δύναται τῇ ΔΖ the square on ΒΓ is greater than the square on A by the square on ΔΖ, Euc. 10.17; αἱ δυνάμεναι αὐτά [τὰ μεγέθη] the lines representing their square roots, ib.Def. 4, cf. Prop. 22; αὐξήσεις δυνάμεναί τε καὶ δυναστευόμεναι increments both in the roots and powers of numbers, Pl. R. 546b; τὴν ὑποτείνουσαν ταῖς περὶ τὴν ὀρθὴν ἴσον δυναμένην Plu. 2.720a, cf. Iamb. Comm.Math. 17; ἡ δυναμένη, Pythag. name for the hypotenuse of a right-angled triangle, Alex.Aphr. in Metaph. 75.31.

b. of numbers multiplied together, come to, Papp. 1.24,27.

III. impers., οὐ δύναται, c. aor. inf., it cannot be, is not to be, τοῖσι Σπαρτιήτῃσι καλλιερῆσαι οὐκ ἐδύνατο Hdt. 7.134, cf.9.45; δύναται it is possible, Plu. 2.440e (s. v.l.).