To answer or respond to a request or call; to meet someone's demand. (Formal/archaic variant of 応じる.)
要請に応ずることは容易ではない。
It is not easy to comply with the request.
多くの応募者に応ずるだけの席はない。
There aren't enough places to accommodate all the applicants.
To satisfy or accept conditions; to meet requirements or expectations.
条件に応ずる契約を結んだ。
They signed a contract that met the conditions.
応募者の希望に応ずる配属を行った。
They assigned placements in accordance with the applicants' wishes.