Lecture 13: Finding Integrating Factor for Homogeneous Equations | Rule II and IV
Автор: Fractal Frontier Maths
Загружено: 2025-12-29
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👋 Hello Learners! Welcome to Fractal Frontier Maths. Aaj ke is lecture mein hum Differential Equations ka ek important topic cover karenge.
In this video, we will learn how to find the Integrating Factor (IF) when the Differential Equation is Homogeneous (Samghat Avakal Samikaran). We will discuss Rule 2 specifically for equations of the form Mdx + Ndy = 0 where M and N are homogeneous functions of the same degree.
✅ Understanding Homogeneous Differential Equations
✅ Rule to find Integrating Factor: 1/(Mx+Ny)
✅ Integrating Factor for Differential Equations of the type f1(xy)ydx+f2(xy)xdy=0
✅ Rule to find Integrating Factor: 1/(Mx-Ny)
✅ Step-by-step solved examples
✅ Explained entirely in Hindi for easy understanding
TARGET AUDIENCE: This video is designed specifically for B.Sc. / Undergraduate Mathematics Students and CSIR NET/IIT JAM aspirants.
📌 RECAP / PREVIOUS VIDEO: In the previous lecture, we learned how to find the Integrating Factor using the Inspection Method (By Observation). If you missed that basic concept, please watch it first to build a strong foundation. Watch here: • Lecture 12: Integration Factor by Inspecti...
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