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.
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.
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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Question
Money is deposited into the account at a constant rate of R25 000 per year.
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
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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