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.
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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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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