(a) Whenever a man has been adjudicated by a court of competent jurisdiction or an administrative tribunal as the father of a child born out of wedlock or whenever he has acknowledged paternity under oath in an administrative hearing, in court, or by verified writing, he shall be legally liable for the support of the child in the same manner as he would owe the duty of support if the child were his child born in wedlock. The right of the child born out of wedlock to receive such support is enforceable in a civil action, notwithstanding any other provision of law.(b) For the purposes of this chapter only, the courts of this state shall give full faith and credit to a determination of paternity made by another state whether established through voluntary acknowledgment or through administrative or judicial processes.