The Quick way to Solve Exact Differential equations
Автор: John's Maths Book
Загружено: 2025-09-23
Просмотров: 67
In this tutorial, we dive deep into the method for solving exact differential equations. Following on from the previous videos, this lesson provides a practical, worked example to solidify your understanding.
WHAT YOU'LL LEARN:
Step 1: Setup & Verification
We'll start by identifying the functions M(x,y) and N(x,y) and then perform the essential test for exactness to confirm we can proceed.
Step 2: Finding the Potential Function F(x,y)
I'll explain the two approaches you can take to find the solution:
Case 1: Integrating the function M with respect to x and adding a constant of integration, g(y).
Case 2: Integrating the function N with respect to y and adding a constant of integration, h(x).
I'll stress that you only need to use one of these methods. For this video's example, we will be using Case 2 and finding the function h(x).
This is the fourth video in my Exact differential equations series. Make sure you're up to speed by watching the first two installments:
Video 1: • Introduction to Exact Differential Equations
Video 2: • A step by step approach to solving Exact d...
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