What is the value of m for which 2x – x2 + my2 is harmonic?

This question was previously asked in
ESE Electrical 2017 Official Paper
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Answer (Detailed Solution Below)

Option 1 : 1
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

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Concept:

If f(x, y) is harmonic then it must satisfy Laplace’s equation

Calculation:

Given function: f = 2x – x2 + my2

So, for harmonic it should satisfy Laplace’s equation

⇒ m = 1

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