योगवासिष्ठः yogavāsiṣṭhaḥ - book-1, chapter-5, verse-3

जन्यत्रार्थं च पुत्राणां प्रत्यहं सह मन्त्रिभिः ।
कृतमन्त्रे महाप्राज्ञे तज्ज्ञे दशरथे नृपे ॥ ३ ॥

janyatrārthaṃ ca putrāṇāṃ pratyahaṃ saha mantribhiḥ ,
kṛtamantre mahāprājñe tajjñe daśarathe nṛpe 3

3. janyatrārtham ca putrāṇām pratyaham saha mantribhiḥ
kṛtamantre mahāprājñe tajjñe daśarathe nṛpe

3. And for the purpose of the birth of sons, daily, along with his ministers, when King Daśaratha, who was profoundly wise, knowledgeable in statecraft, and had thoroughly prepared his counsel, (was making plans).

Words meanings summery:

• जन्यत्रार्थम् (janyatrārtham) - for the purpose of (obtaining) sons (for the purpose of progeny/birth)

• च (ca) - and (and, also)

• पुत्राणाम् (putrāṇām) - of his sons (of sons, for sons)

• प्रत्यहम् (pratyaham) - daily (daily, every day)

• सह (saha) - along with (with, along with)

• मन्त्रिभिः (mantribhiḥ) - his ministers (by ministers, with ministers)

• कृतमन्त्रे (kṛtamantre) - having thoroughly prepared his counsel (who has made counsel, whose counsel is made)

• महाप्राज्ञे (mahāprājñe) - supremely wise (greatly wise, very intelligent)

• तज्ज्ञे (tajjñe) - knowledgeable (in statecraft) (knowledgeable of that, an expert)

• दशरथे (daśarathe) - King Dasharatha (as part of locative absolute) (in Dasharatha, concerning Dasharatha)

• नृपे (nṛpe) - while being the king (in the king, concerning the king)

Words meanings and morphology

जन्यत्रार्थम् (janyatrārtham) - for the purpose of (obtaining) sons (for the purpose of progeny/birth)

(noun)

Accusative, neuter, singular of janyatrārtha

janyatrārtha - purpose of birth/progeny (likely a compound of janya (related to birth/progeny) and artha (purpose/sake))

Tatpurusha compound. जजन्य from jan root. The tra part is unusual and might suggest a specific regional or textual variant. Assuming जजन्य as progeny, and अर्थ as purpose.

Compound type : tatpurusha (janyatra+artha)

• janyatra – related to birth, procreation or progeny (uncertain etymology)
  noun (neuter)
  Possibly derived from `jan` (to be born) + `tra` suffix, but unusual as a standalone word or first part of a compound.
  Root: jan (class 4)
• artha – purpose, aim, meaning, wealth
  noun (masculine)

Note: Used adverbially to mean 'for the sake of'.

च (ca) - and (and, also)

(indeclinable)

Note: Conjunction.

पुत्राणाम् (putrāṇām) - of his sons (of sons, for sons)

(noun)

Genitive, masculine, plural of putra

putra - son, child

Note: Refers to the desired sons.

प्रत्यहम् (pratyaham) - daily (daily, every day)

(indeclinable)

Adverbial compound (avyayībhāva) of prati + ahan

Note: Adverb.

सह (saha) - along with (with, along with)

(indeclinable)

Preposition governing instrumental case

मन्त्रिभिः (mantribhiḥ) - his ministers (by ministers, with ministers)

(noun)

Instrumental, masculine, plural of mantrin

mantrin - minister, counselor

Noun with suffix in

Root: mantr (class 10)

Note: Governed by saha.

कृतमन्त्रे (kṛtamantre) - having thoroughly prepared his counsel (who has made counsel, whose counsel is made)

(adjective)

Locative, masculine, singular of kṛtamantra

kṛtamantra - one who has formed/resolved his counsel/policy

Bahuvrihi compound. kṛta (done) + mantra (counsel).

Compound type : bahuvrihi (kṛta+mantra)

• kṛta – done, made, performed
  adjective (neuter)
  Past Passive Participle
  From root kṛ (to do, make)
  Root: kṛ (class 8)
• mantra – counsel, advice, sacred verse (mantra)
  noun (masculine)
  Root: mantr (class 10)

Note: Qualifies daśarathe.

महाप्राज्ञे (mahāprājñe) - supremely wise (greatly wise, very intelligent)

(adjective)

Locative, masculine, singular of mahāprājña

mahāprājña - very wise, highly intelligent

Karmadhāraya compound: mahā (great) + prājña (wise).

Compound type : karmadhāraya (mahā+prājña)

• mahā – great, large, mighty
  adjective (masculine)
• prājña – wise, intelligent, knowing
  adjective (masculine)
  From prajñā (wisdom)

Note: Qualifies daśarathe.

तज्ज्ञे (tajjñe) - knowledgeable (in statecraft) (knowledgeable of that, an expert)

(adjective)

Locative, masculine, singular of tajjña

tajjña - knowing that, expert in it, skilled

Tatpurusha compound: tat (that) + jña (knowing).

Compound type : tatpurusha (tat+jña)

• tat – that
  pronoun (neuter)
• jña – knowing, knowledgeable
  adjective (masculine)
  From root jñā (to know)
  Root: jñā (class 9)

Note: Qualifies daśarathe.

दशरथे (daśarathe) - King Dasharatha (as part of locative absolute) (in Dasharatha, concerning Dasharatha)

(proper noun)

Locative, masculine, singular of daśaratha

daśaratha - Dasharatha (name of Rama's father, King of Ayodhya)

Note: The subject of the locative absolute construction.

नृपे (nṛpe) - while being the king (in the king, concerning the king)

(noun)

Locative, masculine, singular of nṛpa

nṛpa - king, ruler

From nṛ (man) + pā (to protect)

Root: pā (class 1)

Note: Appositive to daśarathe.