Answered: y' = 2 ln xy, y(1) = 2; y(1.1), y(1.2),…

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y' = 2 ln xy, y(1) = 2; y(1.1), y(1.2), y(1.3), y(1.4), y(1.5)

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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Question

make a table to compare the indicated values of y(x) by Euler's method, the improved Euler method and the RK4 method. Calculate by rounding to four decimal places. First use h 0.1 years after h 0.05.

1. y' = 2 ln xy, y(1) = 2;
y(1.1), y(1.2), y(1.3), y(1.4), y(1.5)

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Step 1: Introduction

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Step 2: Euler's Method

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Step 3: Improved Euler's method

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Step 4: RK4 method

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