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.
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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
Related questions
Question
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)
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