Using Ralston's Method, calculate ys for the following: y xy² = 0, y (0) = 1, - h = 0.1

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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14.
Using Ralston's Method, calculate ys for the
following:
y' - xy² = 0, y (0) = 1,
h = 0.1
The solution for this ODE is given by:
y =
Use 4 decimal places. Initial values given are
considered iteration 0.
1
Transcribed Image Text:Using Ralston's Method, calculate ys for the following: y' - xy² = 0, y (0) = 1, h = 0.1 The solution for this ODE is given by: y = Use 4 decimal places. Initial values given are considered iteration 0. 1
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