Final answer:
Programming and debugging the Differential Analyzer device was challenging due to the hardwiring process, the device's hardware and software limitations, and its reliance on theoretical assumptions.
Step-by-step explanation:
Programming and debugging the Differential Analyzer device was challenging for several reasons. First, engineers had to create programs that would be hardwired into the device's magnetic rope memories. This process was time-consuming and prone to errors, which made debugging difficult. Second, the device's complex hardware and software requirements limited its functionality and analytical capabilities. Finally, the device relied on theoretical assumptions and had limited temporal transitions, further complicating the programming and debugging process.