Find the approximations LRT and M for n = 5, 10, and 20. Then compute the corresponding errors EL, ER, ET, and EM. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) n 5 10 20 n 5 10 20 [²2/20 dx L E₁ R₂ ER Tn ET M₂ EM What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, EL and ER are decreased by a factor of about , and E, and EM are decreased by a factor of about

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the approximations ↳, R, TÃ, and M for n = 5, 10, and 20. Then compute the corresponding errors EL, ER, E, and E. (Round your answers to six decimal places. You may wish to use the sum command
on a computer algebra system.)
n'
n'
n
n
5
10
20
n
5
10
20
2 28
[2²
Ln
EL
dx
Rn
ER
T₂
ET
Mn
EM
What observations can you make? In particular, what happens to the errors when n is doubled?
As n is doubled, EL and ER are decreased by a factor of about
I
and E, and EM are decreased by a factor of about
Transcribed Image Text:Find the approximations ↳, R, TÃ, and M for n = 5, 10, and 20. Then compute the corresponding errors EL, ER, E, and E. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) n' n' n n 5 10 20 n 5 10 20 2 28 [2² Ln EL dx Rn ER T₂ ET Mn EM What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, EL and ER are decreased by a factor of about I and E, and EM are decreased by a factor of about
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