RMPSSU | M.Sc Mathematics 2nd Sem | Lagrange's Equation & its Solution (Type-3 ) | Unit-1| Class-7
Автор: Abhishek Maths
Загружено: 2026-01-10
Просмотров: 11
RMPSSU | M.Sc Mathematics 2nd Semester
Unit–1 | Partial Differential Equations (PDE)
Topic: Lagrange’s Linear Equation & Its Solution (Type–3)
Class–7
In this lecture, we discuss Lagrange’s Linear Partial Differential Equation – Type-3 solutions, as prescribed in Unit–1 of the M.Sc Mathematics 2nd Semester syllabus of RMPSSU (Raja Mahendra Pratap Singh State University).
🔹 Type-3 solutions deal with special cases where standard multipliers fail or become inconvenient, and the solution is obtained by using non-obvious integrals, functional relationships, or suitable transformations.
🔹 This method is especially important for higher-level university examinations and competitive exams.
✨ Key Topics Covered:
Quick revision of Lagrange’s Linear PDE
Meaning and importance of Type-3 solutions
Why standard multipliers are not directly applicable
Use of functional relations to obtain integrals
Construction of the general solution
Solved examples with full explanation
Common mistakes students should avoid in exams
🎯 Best suited for:
RMPSSU M.Sc Mathematics students
NET / GATE / SET aspirants
Students learning Partial Differential Equations (Unit–1)
Anyone preparing advanced mathematics topics
📌 Syllabus Coverage:
M.Sc Mathematics – 2nd Semester | Unit–1 | Partial Differential Equations
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