Exact Differential Equation | Definition, Conditions & Examples | M2 DEGREE

Описание: In this lecture, we explain the concept of Exact Differential Equations in a simple and detailed way, ideal for students preparing for university exams and competitive tests like GATE & ESE.

🧠 What you'll learn:
Definition of an Exact Differential Equation
Necessary condition for exactness
How to check if a DE is exact
Method to solve exact differential equations

Step-by-step solved examples

Examples of exact differential equations include (2xy – 3x²)dx + (x² – 2y)dy = 0, (xy² + x)dx + yx²dy = 0, and cos(y)dx + (y² – xsin(y))dy = 0. An exact differential equation is in the form M(x, y)dx + N(x, y)dy = 0 and satisfies the condition that the partial derivative of M with respect to y equals the partial derivative of N with respect to x (∂M/∂y = ∂N/∂x).


Perfect for: Engineering students, Mathematics majors, and Competitive exam aspirants

#ExactDifferentialEquation #DifferentialEquations #LakiAcademy #EngineeringMaths #GATE #ESE #MathematicsLecture

~-~~-~~~-~~-~
Please watch: "Adjacency Matrix and Incidence Matrix in Graph Theory (Discrete Mathematics) Solved ‪@lakichand99‬ "
   • Adjacency Matrix and Incidence Matrix in G...  
~-~~-~~~-~~-~