1. F(1) = 2 and F(n) = 2F (n − 1) + 2" for n ≥ 2.

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For Exercises 1 and 2, solve the recurrence relation subject to the basis step.

1. \( F(1) = 2 \) and \( F(n) = 2F(n-1) + 2^n \) for \( n \geq 2 \).

2. \( P(1) = 2 \) and \( P(n) = 2P(n-1) + n2^n \) for \( n \geq 2 \).
Transcribed Image Text:1. \( F(1) = 2 \) and \( F(n) = 2F(n-1) + 2^n \) for \( n \geq 2 \). 2. \( P(1) = 2 \) and \( P(n) = 2P(n-1) + n2^n \) for \( n \geq 2 \).
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