supervise
Done without co-ercion.
cooperate
Definition: a thing given willingly to someone without payment
Food that is willingly given (by others). (As opposed to bought or stolen).
Sometimes we are not entirely sure how to define something but we need a tentative definition that we can use until we know more about whatever it is that we are trying to define; that would be called a working definition.
She willingly gave him the food. He did not willingly leave her.
Cooperative means working well with others.
She was willingly able to say she loved him.
The definition of working capital loan is a loan for which the purpose is to finance everyday operations of a company. You can learn more about working capital loans at the Investopedia website.
To diss others.
I am willingly answering your question. The man willingly went into the city to see could he help after the disaster. She willingly went to the police station for questioning about the crime.