Скачать или смотреть 🌿Exact Differential Equations Explained Step-by-Step | Finding the Potential Function F(x,y)🌿

In this lesson we learn how to solve Exact Differential Equations using the concept of a potential function .
We begin by recalling how separable differential equations allow us to solve for directly, and then contrast that with exact equations, where separation is not possible.
Instead, we use the fact that the differential equation comes from a single underlying function , and the solutions represent level curves of this surface in the -plane.

What we cover:

Identifying M(x,y) and N(x,y)

Checking the exactness condition

Integrating to recover

Understanding why functions like and appear — and how to compare them correctly

Writing the final solution in the form


A complete worked example is included and explained slowly and clearly.
Downloadable handwritten notes are available in the description/comments.
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