Śrīmad-Bhāgavatam 11.18.42
భిక్షోర్ధర్మ: శమోఽహింసా తప ఈక్షా వనౌకస: ।
గృహిణో భూతరక్షేజ్యా ద్విజస్యాచార్యసేవనమ్ ॥ ౪౨ ॥
bhikṣor dharmaḥ śamo ’hiṁsā
[bhikshor dharmah shamo ’himsaa]
tapa īkṣā vanaukasaḥ
[tapa eekshaa vanaukasah]
gṛhiṇo bhūta-rakṣejyā
[grihino bhoota-rakshejyaa]
dvijasyācārya-sevanam
[dvijasyaachaarya-sevanam]
Word-for-word
bhikṣoḥ
—
of a sannyāsī
dharmaḥ
—
the main religious principle
śamaḥ
—
equanimity
ahiṁsā
—
nonviolence
tapaḥ
—
austerity
īkṣā
—
discrimination (between the body and the soul)
vana
—
in the forest
okasaḥ
—
of one dwelling, a vānaprastha
gṛhiṇaḥ
—
of a householder
bhūta-rakṣā
—
offering shelter to all living entities
ijyā
—
performance of sacrifice
dvi-jasya
—
of a brahmacārī
ācārya
—
the spiritual master
sevanam
—
serving.
Blended reading (Sanskrit + English inline)
bhikṣor dharmaḥ śamo ’hiṁsā
bhikṣoḥ
of a sannyāsī
dharmaḥ
the main religious principle
śamaḥ
equanimity
tapa īkṣā vanaukasaḥ
ahiṁsā
nonviolence
gṛhiṇo bhūta-rakṣejyā
tapaḥ
austerity
īkṣā
discrimination (between the body and the soul)
dvijasyācārya-sevanam
vana
in the forest
okasaḥ
of one dwelling, a vānaprastha
gṛhiṇaḥ
of a householder
bhūta-rakṣā
offering shelter to all living entities
ijyā
performance of sacrifice
dvi-jasya
of a brahmacārī
ācārya
the spiritual master
sevanam
serving.
The main religious duties of a sannyāsī are equanimity and nonviolence, whereas for the vānaprastha austerity and philosophical understanding of the difference between the body and soul are prominent. The main duties of a householder are to give shelter to all living entities and perform sacrifices, and the brahmacārī is mainly engaged in serving the spiritual master.
Purport
The brahmacārī lives in the āśrama of the spiritual master and personally assists the ācārya. Householders generally are entrusted with the performance of sacrifice and Deity worship and should provide maintenance for all living entities. The vānaprastha must clearly understand the difference between body and soul in order to maintain his status of renunciation, and he should also perform austerities. The sannyāsī should fully absorb his body, mind and words in self-realization. Having thus achieved equanimity of mind, he is the best well-wisher of all living entities.
— A.C. Bhaktivedanta Swami Prabhupāda
Gauḍīya Ācāryas
Viśvanātha Cakravartī Ṭhākura
Gauḍīya
Translation
The main duties of a sannyāsī are equanimity and nonviolence, whereas the duties of the vānaprastha are austerity and philosophical understanding of the difference between the body and soul. The main duties of a householder are to give shelter to all living entities and to perform sacrifices, and the main duty of the brahmacārī is serving the guru.
The main activities of the four āśramas are stated.
My note
Source: vedabase.io