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Please solve this: y' = -2xy, y (0) = 2; y (x) = 2e^-x^2

Please solve this: y' = -2xy, y (0) = 2; y (x) = 2e^-x^2

Advanced Engineering Mathematics
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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Please solve this:

y' = -2xy, y (0) = 2; y (x) = 2e^-x^2

A hand-held calculator will suffice for Problems 1 through 10 where an initial value problem and its exact solution are given. Apply the improved Euler method to approximate this solution on the interval [0, 0.5] with step size h = 0.1. Construct a table showing four-decimal-place values of the approximate solu- tion and actual solution at the points x = 0.1, 0.2, 0.3, 0.4, 0.5.
Transcribed Image Text:A hand-held calculator will suffice for Problems 1 through 10 where an initial value problem and its exact solution are given. Apply the improved Euler method to approximate this solution on the interval [0, 0.5] with step size h = 0.1. Construct a table showing four-decimal-place values of the approximate solu- tion and actual solution at the points x = 0.1, 0.2, 0.3, 0.4, 0.5.
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y' = -2xy, y (0) = 2

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