×
×

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

ISBN: 9781111827052 44

## Solution for problem 52E Chapter 2.3

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

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

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

4 5 1 265 Reviews
23
3
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

#### Related chapters

Unlock Textbook Solution