$$y _{n+2}+y _{n+1}-2y _{n} = n ^{2}$$

nonhomogeneous difference equation

Question

$$y _{n+2}+y _{n+1}-2y _{n} = n ^{2}$$

nonhomogeneous difference equation

anonymous · Answer

@Outkast3r09 dude today nobody looks the question, give me your hand :)

anonymous · Answer

@Calcmathlete  @netlopes1  any idea ?

asnaseer · Answer

This is the same question again: http://openstudy.com/updates/4ff35f2de4b01c7be8c71444 Did you try any of the methods listed in the links?

anonymous · Answer

@asnaseer  it is non-homogenous dude your links are full of homogenous methods

asnaseer · Answer

try using this substitution:$$y_n=An^3+Bn^2+Cn+D$$where A, B, C and D are constants. Then equate the coefficients of each power of n in the resulting expression to find these constants.

anonymous · Answer

i thought it too but it is too long :/ i wonder is there any short version

asnaseer · Answer

a lot of the terms will simply cancel out - try it out and see...

anonymous · Answer

ok i will tell u when i did

anonymous · Answer

@asnaseer you could not believe this n^2 cancelled each other and 0 = n^2 happend

anonymous · Answer

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