Find the solution of the recurrence relation

Monday, 22 April 2019

7:15 PM

Find the solution of the recurrence relation
6an—-2 ¯
which satisfies the initial conditions ao
2anda1 = 27
The solution is an
-3+S*6An
Expected answer:
-3*1An + S*6An
n + 5 X 611

Solve for the characteristic equation

For the homogeneous solution, put into the form --> possibly might need

The characteristic equation of the recurrence relation is
which has solutions
1, 6. Hence the solution has the form
for constants A, B which are determined from the initial conditions
2
27
to be A
—3 and B
5.

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