A — 1: εὐθυμέω
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(Strong's #2114 — Verb — euthumeo — yoo-thoo-meh'-o )

signifies, in the Active Voice, "to put in good spirits, to make cheerful" (eu, "well," thumos, "mind or passion"); or, intransitively, "to be cheerful," Acts 27:22,25; James 5:13 (RV, "cheerful," for AV, "merry"). See MERRY.

A — 2: θαρσέω
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(Strong's #2293 — Verb — tharseo — thar-seh'-o )

"to be of good courage, of good cheer" (tharsos, "courage, confidence"), is used only in the imperative mood, in the NT; "be of good cheer," Matthew 9:2,22; 14:27; Mark 6:50; 10:49; Luke 8:48; John 16:33; Acts 23:11 . See BOLD , A, No. 1, COMFORT, COURAGE.

B — 1: εὔθυμος
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(Strong's #2115 — Adjective — euthumos — yoo'-thoo-mos )

means "of good cheer" (see A, No. 1), Acts 27:36 .

B — 2: ἱλαρός
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(Strong's #2431 — Adjective — hilaros — hil-ar-os' )

from hileos, "propitious," signifies that readiness of mind, that joyousness, which is prompt to do anything; hence, "cheerful" (Eng., "hilarious"), 2—Corinthians 9:7 , "God loveth a cheerful (hilarious) giver."

Psalm 104:15
C — 1: εὔθυμος
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(Strong's #2115 — Adjective — euthumos — yoo'-thoo-mos )

cheerfully (see A, No. 1), is found in the most authentic mss., in Acts 24:10 , instead of the comparative degree, euthumoteron.

D — 1: ἱλαρότης
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(Strong's #2432 — Noun Feminine — hilarotes — hil-ar-ot'-ace )

"cheerfulness" (akin to B, No. 2), is used in Romans 12:8 , in connection with showing mercy.