🧮 Exploring Problem 1.2.3 from Zill – Nonlinear IVP with Domain Analysis

View this thread on: d.buzz | hive.blog | peakd.com | ecency.com
·@walterprofe·
1.817 HBD
🧮 Exploring Problem 1.2.3 from Zill – Nonlinear IVP with Domain Analysis
> *“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.

![Captura desde 2025-06-23 15-07-53.png](https://files.peakd.com/file/peakd-hive/walterprofe/EoCpMjpbpaZzG325GsWYSz2oZbJKxMtF18pMaDpsgDbWXF1mnRBze5VjTr2s2ai5gg5.png)

## ✍️ Step-by-Step Solution

Let’s solve this systematically:

![Captura desde 2025-06-23 15-08-00.png](https://files.peakd.com/file/peakd-hive/walterprofe/23tSzR6hghD586WH6XcQhG2LV1XP3CCp5BHxb8pFx18NvvYFCQj6TBUR8aUSkdDoRD6BX.png)

👍 , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ,