\[y _{n+2}+y _{n+1}-2y _{n} = n ^{2}\] nonhomogeneous difference equation
@Outkast3r09 dude today nobody looks the question, give me your hand :)
@Calcmathlete @netlopes1 any idea ?
This is the same question again: http://openstudy.com/updates/4ff35f2de4b01c7be8c71444 Did you try any of the methods listed in the links?
@asnaseer it is non-homogenous dude your links are full of homogenous methods
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.
i thought it too but it is too long :/ i wonder is there any short version
a lot of the terms will simply cancel out - try it out and see...
ok i will tell u when i did
@asnaseer you could not believe this n^2 cancelled each other and 0 = n^2 happend
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