Show that u= 2x+y^3-3x^2y is harmonic|| find harmonic conjugate and corresponding analytic function

📘 Welcome to Maths Mastery with Dr. Upasana P. Taneja!

Hello learners! I’m Dr. Upasana Taneja, dedicated to helping students master higher mathematics with clear explanations and step-by-step problem-solving.
On my channel — Maths Mastery with Dr. Upasana P. Taneja — I cover advanced topics like Group Theory, Ring Theory, Real Analysis, and Complex Analysis, perfect for B.Sc., M.Sc., NET, GATE, and IIT-JAM aspirants.

✨ In this video, we solve a classic Complex Analysis problem:

Given:
We will:
✅ Verify that is harmonic
✅ Find its harmonic conjugate
✅ Construct the corresponding analytic function

You’ll learn:

How to check the harmonicity condition using Laplace’s equation

Step-by-step integration to find the harmonic conjugate

How to combine and to form an analytic function

Tricks to simplify calculations and avoid common mistakes
By the end of this lecture, you’ll be confident in solving harmonic function problems and finding their corresponding analytic functions — a key skill in Complex Analysis.

📚 Check out detailed notes and solved examples on my blog:
🔗 https://upasanataneja.blogspot.com

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Видео Show that u= 2x+y^3-3x^2y is harmonic|| find harmonic conjugate and corresponding analytic function канала Maths Mastery with Dr Upasana P Taneja