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. y(0) = 3 000, r = 0.06 and I(t) = 120. Suppose that Applying the Runge-Kutta method, with a step size of h =1 and Y0 = 3 000 = y(0) to find the value of the investment after one year, will yield:
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. y(0) = 3 000, r = 0.06 and I(t) = 120. Suppose that Applying the Runge-Kutta method, with a step size of h =1 and Y0 = 3 000 = y(0) to find the value of the investment after one year, will yield:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
100%
![Round your answers
to two decimal places.
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.
y(0) :
3 000, r =
0.06 and
I(t) = 120.
Suppose that
Applying the Runge-Kutta method, with a step size of h:
1 and Yo=
3 000
to find the
value of the investment after one year, will yield:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5598c258-0b65-4f95-8bd3-29651964e95d%2F7ad673cf-e703-47dc-abbf-5c2c9d51ad93%2Fx043y14_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Round your answers
to two decimal places.
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.
y(0) :
3 000, r =
0.06 and
I(t) = 120.
Suppose that
Applying the Runge-Kutta method, with a step size of h:
1 and Yo=
3 000
to find the
value of the investment after one year, will yield:
![to find the
Applying the Runge-Kutta method, with a step size of h = 1 and Yo = 3 000= y(0)
value of the investment after one year, will yield:
ko1
ko2
ko3
ko4
and thus
(1) = y1 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5598c258-0b65-4f95-8bd3-29651964e95d%2F7ad673cf-e703-47dc-abbf-5c2c9d51ad93%2F3ths2v5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:to find the
Applying the Runge-Kutta method, with a step size of h = 1 and Yo = 3 000= y(0)
value of the investment after one year, will yield:
ko1
ko2
ko3
ko4
and thus
(1) = y1 =
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