y' = y²(1 + 2x), y(−1) = 1, dx = 0.5
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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Transcribed Image Text:3. y' = 2xy + 2y, y(0) = 3, dx = 0.2
y(−1) = 1, dx = 0.5
4. y' = y²(1 + 2x),
5. y'
2xet², y(0) = 2, dx = 0.1
6. y' = y + e* - 2, y(0) = 2, dx = 0.5
=
Transcribed Image Text:In Exercises 1-6, use Euler's method to calculate the first three ap-
proximations to the given initial value problem for the specified incre-
ment size. Calculate the exact solution and investigate the accuracy of
your approximations. Round your results to four decimal places.
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