Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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A bank account earns 12% interest, compounded continuously, and has an initial balance of zero.

Money is deposited into the account at a constant rate of R25 000 per year.
The absolute error in
this approximation is
B(4) = ¤(4) × B2 =
The absolute error in
this approximation is
B(6) = 4(6) 2 B3
The absolute error in
this approximation is
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Transcribed Image Text:The absolute error in this approximation is B(4) = ¤(4) × B2 = The absolute error in this approximation is B(6) = 4(6) 2 B3 The absolute error in this approximation is
The rate of change of
the balance B in the
account can be
described by
dB/dt = 0.12B+ 25 000.
Estimating the values
of
В (2), В(4) and B(6)
using the Forward
Euler formula with a
step-size of
h = 2 and B(0) = 0 = Bo
%3D
yields:
В2) — Ф(2) ~ В -
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Transcribed Image Text:The rate of change of the balance B in the account can be described by dB/dt = 0.12B+ 25 000. Estimating the values of В (2), В(4) and B(6) using the Forward Euler formula with a step-size of h = 2 and B(0) = 0 = Bo %3D yields: В2) — Ф(2) ~ В -
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