(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve the first order difference equation.

2. Relevant equations

x[n] - x[n-1] = n(n+1)/2

x[1] = 1

3. The attempt at a solution

Homogenous solution:

Characteristic equation:

r - 1 = 0 <=> r = 1

=> yhn = C * 1^n = C

Particular solution:

ypn = ?

I'm supposed to do some intelligent guess here. n(n+1)/2 is a polynomial of degree 2 and dosnt exist in yhn so i should be something like An(n+1) or An^2+Bn but Ican't get anything to work.

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# Homework Help: Solve first order difference equation!

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