Use the Taylors method with step size of 0.15 to approximate the solution of ty' – 2y – te',1

Given : h=0.15ty'-2y-t3et, 1≤t≤2y1=0

Answered: Taylors method

Math

Calculus

Taylors method

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.5: Iterative Methods For Solving Linear Systems

Problem 20EQ

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Question

Use the Taylors method with step size of 0.15 to approximate the solution of ty' – 2y – te',
1<t< 2, y(1) = 0. Compare the result with actual value y(t) = t² (e' – e). Use the
answers generated in Euler's method and linear interpolation to approximate the following values of
y, and compare them to the actual values.
1. у(0.75),
2. У(1.2),

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