The Department of Hokie Pokie at Our Favorite University holds a competition for its undergraduates. The contest problem is to take 1000 steps using the Euler method with step size 0.001 for the initial value problem y'=0.25 y?, y(0)=1.1. The answer has to be provided in 30 seconds, so even our best math wizards have insufficient time to actually do the calculation and have to venture a guess. Sara says: My home state is round at the ends and everybody laughs when we say it is high in the middle. I think the answer is close to zero. John says: I believe in number one. USA! USA! The answer is close to 1. Miriam says: Carl Sagan is my kind of guy. Millions, billions, trillions. The answer is a large number. Kevin says: No, you are all wrong. The answer is approximately 1.52. The winner is O a) Sara. O b) Kevin. O c) Miriam. O d) John.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
The Department of Hokie Pokie
at Our Favorite University holds a competition
for its undergraduates. The contest problem
is to take 1000 steps using the Euler method
with step size 0.001 for the initial value problem
y'=0.25 y?, y(0)=1.1.
The answer has to be provided in 30 seconds, so even
our best math wizards have insufficient time
to actually do the calculation and have to venture a guess.
Sara says: My home state is round at the ends
and everybody laughs when we say it is high in the middle.
I think the answer is close to zero.
John says: I believe in number one. USA! USA!
The answer is close to 1.
Miriam says: Carl Sagan is my kind of guy.
Millions, billions, trillions.
The answer is a large number.
Kevin says: No, you are all wrong.
The answer is approximately 1.52.
The winner is
O a) Sara.
O b) Kevin.
c) Miriam.
d) John.
Transcribed Image Text:The Department of Hokie Pokie at Our Favorite University holds a competition for its undergraduates. The contest problem is to take 1000 steps using the Euler method with step size 0.001 for the initial value problem y'=0.25 y?, y(0)=1.1. The answer has to be provided in 30 seconds, so even our best math wizards have insufficient time to actually do the calculation and have to venture a guess. Sara says: My home state is round at the ends and everybody laughs when we say it is high in the middle. I think the answer is close to zero. John says: I believe in number one. USA! USA! The answer is close to 1. Miriam says: Carl Sagan is my kind of guy. Millions, billions, trillions. The answer is a large number. Kevin says: No, you are all wrong. The answer is approximately 1.52. The winner is O a) Sara. O b) Kevin. c) Miriam. d) John.
Expert Solution
Step 1

First we try to solve the problem using small step size 

Let h=0.25

then Euler method is defined by

yn+1=yn+hf(xn,yn)

 

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,