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# As in Exercises 3.6, for some problems you will find it

## Problem 1E Chapter 3.7

Fundamentals of Differential Equations | 8th Edition

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Fundamentals of Differential Equations | 8th Edition

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Problem 1E

Problem 1E

Problem

As in Exercises 3.6, for some problems you will find it essential to have a calculator or computer available.† For Problems 1–17, note whether or not  is bounded.

Determine the recursive formulas for the Taylor method of order 2 for the initial value problem

Step-by-Step Solution:

Step 1</p>

In this problem we have to determine the recursive formula for the Taylor method of order 2 for the initial value problem

, .

Recursive formula for the Taylor method of order is given by,

.

.

Step 2</p>

We have

Now we need to calculate

so,

And,

Therefore  .

Or,

Hence,  .

Step 3 of 3

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