Green function and modify green function Question solution MSc 4th sem CSIR NET, IIT JAAM,Gate other

📘 Green Function for Boundary Value Problems | CSIR NET | GATE | M.Sc. Mathematical Sciences 🎓 Lecture by Vishal Gautam In this lecture, Vishal Gautam explains the concept of Green Function for Boundary Value Problems, an important topic in Ordinary Differential Equations (ODE) and Mathematical Physics. This topic is highly relevant for competitive exams like CSIR UGC NET Mathematical Sciences, GATE Mathematics, IIT JAM, and M.Sc. Mathematics. The Green Function method is a powerful technique used to solve linear differential equations with boundary conditions. It converts a differential equation into an integral form, which makes solving many boundary value problems easier and more systematic. 🎯 This lecture is designed to build strong conceptual understanding along with problem-solving techniques required for CSIR NET and GATE level questions. 🔹 Topics Covered in This Lecture • Introduction to Boundary Value Problems (BVP) • Definition and intuition of Green Function • Construction of Green Function for linear ODEs • Properties of Green Functions • Solving Boundary Value Problems using Green Function • Step-by-step solved examples for CSIR NET & GATE 📚 Why This Topic Is Important? Green functions are widely used in advanced mathematics, mathematical physics, engineering, quantum mechanics, heat equations, and wave equations. A clear understanding of this method helps students tackle many advanced differential equation problems in competitive exams and university courses. 👨‍🏫 About the Instructor This lecture is delivered by Vishal Gautam, focusing on clear explanations and exam-oriented problem solving for CSIR NET, GATE Mathematics, and M.Sc. Mathematical Sciences students. 📌 Useful For • CSIR UGC NET Mathematical Sciences • GATE Mathematics • IIT JAM Mathematics • M.Sc. Mathematics Entrance & Semester Exams • Students learning Advanced Differential Equations 👍 If this lecture helps you, please Like 👍, Share 🔁, and Subscribe 🔔 to the channel for more lectures on Higher Mathematics, Real Analysis, Linear Algebra, Differential Equations, and Mathematical Sciences preparation. #GreenFunction #BoundaryValueProblems #CSIRNETMath #GATEMathematics #DifferentialEquations #MathematicalSciences #VishalGautam #MScMathematics