εὐχαρίστως
From LSJ
ἀσκεῖν περὶ τὰ νοσήματα δύο, ὠφελεῖν ἢ μὴ βλάπτειν → strive, with regard to diseases, for two things — to do good, or to do no harm | as to diseases, make a habit of two things — to help, or at least, to do no harm
Russian (Dvoretsky)
εὐχᾰρίστως:
1) по желанию сердца, счастливо (τελευτᾶν τὸν βίον Her.);
2) благодарно, с признательностью (διακεῖσθαι πρός τινα Diod.).