Partial Differential Equations (PDEs) | Elimination of Arbitrary Functions | Examples 3 & 4

Описание: Ever wondered why Partial Differential Equations (PDEs) feel so tough? 🤯 In this 30-minute lecture, I break them down step by step—starting from the basic terminology, then moving into the elimination of arbitrary constants and functions using powerful tools like the Chain Rule and Total Derivative. By the end, PDEs won’t look scary—they’ll feel logical and solvable!
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👉 To begin, I introduce the basic terminology of PDEs, laying strong foundations for easy understanding.
👉 Next, I provide a step-by-step explanation of the elimination of arbitrary constants, breaking it into simple logical steps.
👉 We then solve crucial Examples 3 & 4 from the book, focusing on how to eliminate arbitrary functions by using the Chain Rule and Total Derivative, making it crystal clear how first-order PDEs are handled in practice.
👉 Finally, we also solve 2–3 additional examples, ensuring the concept becomes application-oriented and exam-focused.


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📖 Reference Book:
Chapter 28: Partial Differential Equations
Schaum’s Outline Series – Theory and Problems of Differential Equations (Including 560 Solved Problems, Completely Solved in Detail) by Frank Ayres Jr.


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✨ This lecture is ideal for beginners, students, and math enthusiasts who want a quick yet comprehensive understanding of PDE basics, elimination methods, and solving PDEs involving arbitrary functions with the chain rule.

Must watch my 1st lecture:
Arbitrary Constant with Basic form:    • PDE | Chap:28 | Elimination of Arbitrary C...  

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