“Understanding where a function is defined is as important as knowing what it looks like.” – Me, solving ODEs on a Sunday ☕📘
📌 Problem Overview
In today’s post, I’m working through Problem 1.2.3 from Advanced Engineering Mathematics by Dennis Zill. This one is a nice change of pace: we not only find a particular solution to a first-order differential equation, but also identify the largest interval over which that solution is valid.
✍️ Step-by-Step Solution
Let’s solve this systematically:
