योगवासिष्ठः yogavāsiṣṭhaḥ - book-7, chapter-160, verse-4

राजरामवसिष्ठाद्या मिथः कृत्वा विसर्जनम् ।
यथाक्रमं पूजनं च प्रययुः स्वास्पदानि ते ॥ ४ ॥

rājarāmavasiṣṭhādyā mithaḥ kṛtvā visarjanam ,
yathākramaṃ pūjanaṃ ca prayayuḥ svāspadāni te 4

4. rājarāmavasiṣṭhādyāḥ mithaḥ kṛtvā visarjanam
yathākramam pūjanam ca prayayuḥ svāspadāni te

4. te rājarāmavasiṣṭhādyāḥ mithaḥ visarjanam kṛtvā
ca yathākramam pūjanam prayayuḥ svāspadāni

4. King Rama, Vasiṣṭha, and the others, having mutually bid farewell and performed greetings in due order, departed for their respective homes.

Words meanings summery:

• राजरामवसिष्ठाद्याः (rājarāmavasiṣṭhādyāḥ) - King Rama, Vasiṣṭha, and others; those beginning with King Rama and Vasiṣṭha.

• मिथः (mithaḥ) - mutually, reciprocally, amongst themselves.

• कृत्वा (kṛtvā) - having done, having made, having performed.

• विसर्जनम् (visarjanam) - dismissal, leave-taking, sending off.

• यथाक्रमम् (yathākramam) - in due order, successively, accordingly.

• पूजनम् (pūjanam) - worship, adoration, respectful greeting.

• च (ca) - and, also.

• प्रययुः (prayayuḥ) - they went, they departed.

• स्वास्पदानि (svāspadāni) - their own abodes, their own places.

• ते (te) - they, those.

Words meanings and morphology

राजरामवसिष्ठाद्याः (rājarāmavasiṣṭhādyāḥ) - King Rama, Vasiṣṭha, and others; those beginning with King Rama and Vasiṣṭha.

(noun)

Nominative, masculine, plural of rājarāmavasiṣṭhādi

rājarāmavasiṣṭhādi - King Rama, Vasiṣṭha, and others (a list of names followed by -ādi)

Compound type : bahuvrīhi (rājan+rāma+vasiṣṭha+ādi)

• rājan – king
  noun (masculine)
  Root: rāj (class 1)
• rāma – Rama (name of a king, incarnation of Vishnu)
  proper noun (masculine)
• vasiṣṭha – Vasiṣṭha (name of a revered sage)
  proper noun (masculine)
• ādi – beginning, etcetera, and others
  indeclinable (masculine)
  Root: ad

Note: Refers to King Rama, Vasiṣṭha, and other prominent individuals present.

मिथः (mithaḥ) - mutually, reciprocally, amongst themselves.

(indeclinable)

कृत्वा (kṛtvā) - having done, having made, having performed.

(indeclinable)

Absolutive (gerund)

Derived from root kṛ with suffix -tvā

Root: kṛ (class 8)

विसर्जनम् (visarjanam) - dismissal, leave-taking, sending off.

(noun)

Accusative, neuter, singular of visarjana

visarjana - dismissal, leave-taking, sending off, abandonment

Noun derived from vi-sṛj

Prefix: vi

Root: sṛj (class 6)

Note: Object of 'kṛtvā'.

यथाक्रमम् (yathākramam) - in due order, successively, accordingly.

(indeclinable)

From yathā + krama, functions as an adverb

Compound type : avyayībhāva (yathā+krama)

• yathā – as, just as, in such a manner
  indeclinable
• krama – order, sequence, step
  noun (masculine)
  Root: kram (class 1)

Note: Acts as an adverb modifying the action of 'pūjanam kṛtvā'.

पूजनम् (pūjanam) - worship, adoration, respectful greeting.

(noun)

Accusative, neuter, singular of pūjana

pūjana - worship, adoration, respectful greeting

Noun derived from pūj

Root: pūj (class 10)

Note: Object of implied 'kṛtvā'.

च (ca) - and, also.

(indeclinable)

Note: Connects 'visarjanam' and 'pūjanam'.

प्रययुः (prayayuḥ) - they went, they departed.

(verb)

3rd person , plural, active, perfect (Lit) of prayā

Perfect Active

Root yā with prefix pra. Perfect 3rd person plural.

Prefix: pra

Root: yā (class 2)

स्वास्पदानि (svāspadāni) - their own abodes, their own places.

(noun)

Accusative, neuter, plural of svāspada

svāspada - one's own abode, one's own place

Compound of sva (own) and āspada (abode)

Compound type : ṣaṣṭhī-tatpuruṣa (sva+āspada)

• sva – own, one's own
  pronoun
• āspada – place, abode, seat, object
  noun (neuter)
  Derived from root pad with prefix ā
  Prefix: ā
  Root: pad (class 4)

Note: Object of 'prayayuḥ'.

ते (te) - they, those.

(pronoun)

Nominative, masculine, plural of tad

tad - that, those, he, she, it

Note: Subject of 'prayayuḥ'.