m का वह मान क्या है जिसके लिए 2x – x2 + my2 हार्मोनिक है?

This question was previously asked in
ESE Electrical 2017 Official Paper
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  1. 1
  2. -1
  3. 2
  4. -2

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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संकल्पना:

यदि f(x, y) हार्मोनिक है, तो इसे लाप्लास के समीकरण को संतुष्ट करना चाहिए। 

गणना:

दिया गया फलन: f = 2x – x2 + my2

इसलिए, हार्मोनिक के लिए इसे लाप्लास के समीकरण को संतुष्ट करना चाहिए। 

⇒ m = 1

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