In heterogeneous packet erasure networks, where the capacities of the channels are different, it is important that each user can receive packets with respect to the quality of its channel, which is known as multirate packet delivery. In this paper, we provide an in-depth analysis of a previously proposed non-block-based network coding scheme in the literature and show analytically and via simulations for the first time, that it can achieve multirate packet delivery. Using acknowledgments from each user, the user with the highest link capacity achieves the maximum possible throughput. Also, a non-zero packet delivery rate is possible for the other users, which depends on the difference between the packet arrival rate at the sender and the link capacity of each user. We present an analysis of the delivery rate and the delivery delay of the users. The accuracy of the analysis is confirmed by comparing the results with simulations for different settings of packet arrival rate at the sender and the link capacities.