All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah and that Muhammad is His slave and Messenger.
You are not obliged to accept that your husband's children live with you in the same house, and you are also not obliged to take care of them unless you willingly choose to do so. Please refer to fataawa 84420 and 25707.
You are entitled to live in a separate house without having to live with your husband's children or family, and your husband has no right to force you to accept accommodating his children with you in the same house or to take care of them. Obedience to the husband is not without restrictions or limits; rather, it is restricted to the duties and implications of marriage, as the scholars stated. The Hanafi scholar Ibn Nujaym wrote, "The wife is only obliged to obey her husband with regards to the duties and implications of marriage in particular, and she is not obliged to obey him in other than that, especially if it causes her harm." Please, refer to fatwa 133365.
Taking care of your husband's children and tending to the needs of his family are not among the duties and implications of marriage; the wife is not obliged to do whatever is not among the duties or implications of marriage, even if she is able to do so; so she is not obliged to do so in case of inability for a greater reason.
We advise you to try to reach a mutual understanding with your husband regarding his children and to wisely do what serves your best interests and theirs. The fact that they are already grownups, as seems from your question, makes it easier as they are able to be independent.
Undoubtedly, you will be rewarded for helping them with regards to their studies. Allaah, The Exalted, says (what means): {...and whatever good you put forward for yourselves - you will find it with Allaah. Indeed, Allaah of what you do, is Seeing.} [Quran 2:110] However, if the situation is as you described and they did not attend their classes and you want to help them in the future, you are advised to consult with their father so that it would be done under his supervision and he could make sure that they attend the classes and benefit from them as due.
Allaah knows best.