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Math / Differential Equations and Their Applications: An Introduction to Applied Mathematics 3 / Chapter 2.1 1 / Problem 3

Differential Equations and Their Applications: An Introduction to Applied Mathematics | 3rd Edition | ISBN: 9780387908069 | Authors: M. Braun

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Solved: Find the solution of each of the following initial-value problems

Chapter 2, Problem 3

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QUESTION:

Find the solution of each of the following initial-value problems.

Questions & Answers

QUESTION:

Find the solution of each of the following initial-value problems.

ANSWER:

Step 1 of 2

It is given that the point lies on the curve .

a) If is the point ,

To find the, slope of the secant line (correct to six decimal places).

The slope of the secant line is given by,

i.

The point becomes,

The slope of the secant line is given by,

ii.

The point becomes,

The slope of the secant line is given by,

iii.

The point becomes,

The slope of the secant line is given by,

iv.

The point becomes,

The slope of the secant line is given by,

v.

The point becomes,

The slope of the secant line is given by,

vi.

The point becomes,

The slope of the secant line is given by,

vii.

The point becomes,

The slope of the secant line is given by,

viii.

The point becomes,

The slope of the secant line is given by,

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