Question
Asked Oct 8, 2019
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Solve the recurrence relation:

T(n) = 2*T(n-1)+a*n+b

T(0)=0

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Expert Answer

Step 1

To find the formula for T(n), satisfying the given recurrence relation

Step 2

We solve this first by finding the general solution of homogeneous verison (CF) and then the PS (particular solution) of the non-homogeneous part

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T(n) - 2T (п-1) + an +b (1) with T(0) = 0; Rewrite (1), as T(m) - 2T (п -1) — аn + b; (2)

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Step 3

clearly (3) sati...

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1)Homogeneous equation 0, has solution T(n)-2T (n- T(n) a2" (3)

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