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अंतर समीकरण y n +2 - 2y n+1 + y n = n 2 2 n का विशेष समाकल है

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RPSC 2nd Grade Mathematics (Held on 30th June 2017) Official Paper
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  1. 2 एन (एन 2 - 8 एन + 20 )
  2. 2 एन । एन (एन + 1)
  3. 2 एन एन (एन - 1)
  4. एन । 2 एन-1 (एन + 1)

Answer (Detailed Solution Below)

Option 1 : 2 एन (एन 2 - 8 एन + 20 )
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Detailed Solution

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y n +2 - 2y n+1 + y n = n 2 2 n  

(डी 2 - 2डी + 1) = एन 2 2 एन

(डी - 1) 2 = एन 2 2 एन

विशेष इंटीग्रल के लिए

1/( (डी - 1) 2 × एन 2 2 एन

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