अन्वयः

एषः this Rama, महता by great, तपसा with austerities, विविधैः by various, परिश्रमैश्च with efforts as well, लब्धः was obtained, दशरथस्य Dasaratha's, एकः one, सदृशलक्षणः one with very similar virtues, पुत्रः is the son.

M N Dutt

It is by virtue of mighty austerities and uncommon exertions that Dasaratha has obtained this son of his crowned with every auspicious sign. He being banished, the king shall not live long; and the Earth shall certainly be widowed soon.

Summary

This favourite son of Dasaratha who has similar traits like his father was born after he rigorously practised austerities accompanied by (Vedic) mantras. When he is banished, the king will not live long. Surely this land will soon be widowed.

पदच्छेदः

महता	महत् (३.१)
तपसा	तपस् (३.१)
लब्धो	लब्ध (√लभ् + क्त, १.१)
विविधैश्	विविध (३.३)
च	च (अव्ययः)
परिश्रमैः	परिश्रम (३.३)

छन्दः

अनुष्टुप् [८]

छन्दोविश्लेषणम्

१	२	३	४	५	६	७	८
म	ह	ता	त	प	सा	ल	ब्धो
वि	वि	धै	श्च	प	रि	श्र	मैः
ए	को	द	श	र	थ	स्यै	ष
पु	त्रः	स	दृ	श	ल	क्ष	णः