Difference equation: general soln to x[t+1]-a*x[t]=R*b^t

audrkaba

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Sep 18, 2013
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I have scientific problem related to difference equation:
x[t+1]-a*x[t]=R*b^t and initial value is x[0]=P>0, x[t] is strictly positive and increasing, and a,b and R are real positive numbers.

What is the general solution of this difference equation.
 
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