Example 1 — First-order linear ODE (integrating factor)
Example 2 — Second-order constant-coefficient ODE differential equations and their applications by zafar ahsan
Example 3 — Heat equation on 0<x<L with u(0,t)=u(L,t)=0, initial u(x,0)=f(x) Example 1 — First-order linear ODE (integrating factor)
Zafar Ahsan’s text is designed for a specific audience. If you fall into any of these categories, you will find it invaluable: Example 2 — Second-order constant-coefficient ODE
Before diving into the applications, it is essential to understand what differentiates this book from generic textbooks. Dr. Zafar Ahsan, a respected mathematician and educator, wrote this book with a specific philosophy: Do not just solve equations; understand the story behind them.
The latter half of the book transitions into PDEs.