Final answer:
The text does not explicitly answer whether the eagle brothers accept their parent's request, but discusses general bird behaviors such as shared parental responsibilities in bird species which may suggest cooperative behaviors.
Step-by-step explanation:
The original question about whether the eagle brothers accept their parent's request is not directly answered in the provided text excerpts. The passages discuss various behaviors of birds, including monogamous relationships, bird species differences, and brood parasitism, but do not provide information about specific characters known as the eagle brothers or their decisions related to a parental request. However, bird parental care is discussed, emphasizing that in most bird species, both parents share responsibilities such as incubation and feeding of chicks. This care may hint towards cooperative behavior in birds, potentially suggesting that eagle siblings might be inclined to heed their parents' requests if that were part of the story.