An investment grows according to the DE dy = ry + I(t), dt %3D where 100r is the nominal interest rate and I(t) is the rate of new capital investment. Suppose that y(0) = 2 000, r = 0.07 and I(t) = 100. Applying the Runge-Kutta method, with a step size of h = 1 and Yo = 2 000 = y(0) to find the value of the

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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An investment grows
according to the DE
dy
= ry + I(t),
dt
where 100r is the
nominal interest rate and
I(t)
is the rate of new
capital investment.
Suppose that
y(0) = 2 000, r = 0.07
and I(t) = 100.
Applying the Runge-Kutta
method, with a step size
of h = 1 and
Yo = 2 000 = y(0)
to find the value of the
Transcribed Image Text:An investment grows according to the DE dy = ry + I(t), dt where 100r is the nominal interest rate and I(t) is the rate of new capital investment. Suppose that y(0) = 2 000, r = 0.07 and I(t) = 100. Applying the Runge-Kutta method, with a step size of h = 1 and Yo = 2 000 = y(0) to find the value of the
to find the value of the
investment after one
year, will yield:
ko1
ko2
ko3
ko4
and thus
Þ(1) ~ Y1 =
Transcribed Image Text:to find the value of the investment after one year, will yield: ko1 ko2 ko3 ko4 and thus Þ(1) ~ Y1 =
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