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The particular integral of difference equation yn+2 - 2yn+1 + yn = n22n is

This question was previously asked in
RPSC 2nd Grade Mathematics (Held on 30th June 2017) Official Paper
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  1. 2n (n2 - 8n + 20)
  2. 2n. n(n + 1)
  3. 2n n(n - 1)
  4. n . 2n-1 (n + 1)

Answer (Detailed Solution Below)

Option 1 : 2n (n2 - 8n + 20)
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Detailed Solution

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yn+2 - 2yn+1 + yn = n22n 

(D2 - 2D + 1) = n22n

(D - 1)2 = n22n

For Particular Integral

1/((D - 1)2  × n22n

 

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