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ts: where are constants. Discuss how to solve this system

A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill ISBN: 9781111827052 44

Solution for problem 52E Chapter 2.3

A First Course in Differential Equations with Modeling Applications | 10th Edition

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A First Course in Differential Equations with Modeling Applications | 10th Edition | ISBN: 9781111827052 | Authors: Dennis G. Zill

A First Course in Differential Equations with Modeling Applications | 10th Edition

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Problem 52E

PROBLEM 52E

Radioactive Decay Series The following system of differential equations is encountered in the study of the decay of a special type of radioactive series of elements:

where are constants. Discuss how to solve this system subject to x(0) = x0, y(0) = y0. Carry out your ideas.

Step-by-Step Solution:

In this question we have to solve the equation and where and are constants subject to

Step 1 </p>

Solving the first differential equation

Separating the variables

Integrating both sides

For the initial condition

=>

Substituting the value in , we get

Step 2 of 2

Chapter 2.3, Problem 52E is Solved
Textbook: A First Course in Differential Equations with Modeling Applications
Edition: 10
Author: Dennis G. Zill
ISBN: 9781111827052

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