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Use the substitution method to show that: 1. T(n) = n(n² log n) is a valid solution for T(n) = {4T (4) + n² 2. T(n) = 0(n³) is a valid solution for T(n) = if n = 1 + n² if n > 1 if n = 1 +nifn ≥ 2 (²4T (-) +

Use the substitution method to show that: 1. T(n) = n(n² log n) is a valid solution for T(n) = {4T (4) + n² 2. T(n) = 0(n³) is a valid solution for T(n) = if n = 1 + n² if n > 1 if n = 1 +nifn ≥ 2 (²4T (-) +

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Practice Exercise #1: Use the substitution method to show that: 1. T(n) = n(n² log n) is a valid solution for T(n) = 2. T(n) = 0(n³) is a valid solution for T(n) = if n = 1 + n² ifn > 1 if n = 1 +n ifn ≥ 2 { 4T (2) + {4T (1) + n
Transcribed Image Text:Practice Exercise #1: Use the substitution method to show that: 1. T(n) = n(n² log n) is a valid solution for T(n) = 2. T(n) = 0(n³) is a valid solution for T(n) = if n = 1 + n² ifn > 1 if n = 1 +n ifn ≥ 2 { 4T (2) + {4T (1) + n
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