What did the court decide in Lassiter v. Department of Social Services of Durham County?
Answered for: US
we thus draw from them the presumption that an indigent litigant has a right to appointed counsel only when, if he loses, he may be deprived of his physical liberty
The Court held there is no automatic right to appointed counsel in parental-rights termination proceedings, leaving the question to case-by-case determination. The sentence above is the court in its own words.
This answer is true in US and nowhere else on this site. Another jurisdiction is another answer, or an honest gap: see what has been read for US.