Is it permissible for the owner of a computer and languages training institute to request donations from philanthropists to cover part or all of the cost of courses offered free of charge to individuals who are unable to pay, knowing that these donations will benefit the institute by enrolling individuals in the courses?

The one who guides to good is like the one who does it. So, whoever guides to good will receive the reward of the one who does it. And whoever guides people of good will to those in need of beneficial knowledge will be rewarded for that if their intention is sincere, and their personal benefit does not harm them as long as the donations are spent in their rightful channels.