To solve the problem, start by determining a3 from the third equation, then use that value to find a2 from the second equation, and finally calculate a1 from the first equation. The discussion emphasizes a step-by-step approach to solving the equations sequentially. It clarifies that the topic does not involve differential equations, prompting a reclassification of the thread. Participants are encouraged to share their findings after following the suggested method. This structured approach aims to clarify the process of equating coefficients effectively.