Solve Difference Equation | General Solution | No Particular Solution

haoku
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Homework Statement


Given difference equation
T(a+2)-7T(a+1) +6T(a)= 6f
Find the general solution of this equation

Homework Equations


I have found the auxiliary equation be
A(1)^n+B(6)^n
But seems can't find the particular solution of that question.
Is it impossible to do this question?


The Attempt at a Solution

 
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Hi haoku! :smile:
haoku said:
T(a+2)-7T(a+1) +6T(a)= 6f

What's f? :confused:
 
f is a constant? Then "trying" a constant as solution won't work because a constant already satisfies the homogeneous equation (n0= 1). Try T(n)= Cn as a solution and determine C.
 
Sorry this is 6a
 
haoku said:
Sorry this is 6a

ah! :biggrin:

in that case, try a polynomial in a. :smile:​
 

Thread 'Finding the nth roots of a complex number'

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