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Model radioactive decay using the notation t = time

Differential Equations 00 | 4th Edition | ISBN: 9780495561989 | Authors: Paul (Paul Blanchard) Blanchard, Robert L. Devaney, Glen R. Hall ISBN: 9780495561989 199

Solution for problem 6 Chapter 1.1

Differential Equations 00 | 4th Edition

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Differential Equations 00 | 4th Edition | ISBN: 9780495561989 | Authors: Paul (Paul Blanchard) Blanchard, Robert L. Devaney, Glen R. Hall

Differential Equations 00 | 4th Edition

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Problem 6

Model radioactive decay using the notation t = time (independent variable), r(t) = amount of particular radioactive isotope present at time t (dependent variable), = decay rate (parameter). Note that the minus sign is used so that > 0. (a) Using this notation, write a model for the decay of a particular radioactive isotope. (b) If the amount of the isotope present at t = 0 is r0, state the corresponding initial-value problem for the model in part (a).

Step-by-Step Solution:
Step 1 of 3

1.1 ­ Lines ● ​ A l ​ ine is determined by two points. ● A line is given by a formula. ○ Point­slope form ○ Slope­intercept form Point Slope Formula y − y = m (x − x​ ) 1​ 1​ ​ where m ​ is slope and x​ 1​d y​ a1​ a point (​x​ ,1​​ 1​ ​Slope is the change of y, divided by the change of x. m = y​ 1​ y2 ​1 ​ x2

Step 2 of 3

Chapter 1.1, Problem 6 is Solved
Step 3 of 3

Textbook: Differential Equations 00
Edition: 4
Author: Paul (Paul Blanchard) Blanchard, Robert L. Devaney, Glen R. Hall
ISBN: 9780495561989

Since the solution to 6 from 1.1 chapter was answered, more than 614 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 6 from chapter: 1.1 was answered by , our top Math solution expert on 01/02/18, 08:51PM. Differential Equations 00 was written by and is associated to the ISBN: 9780495561989. This full solution covers the following key subjects: . This expansive textbook survival guide covers 90 chapters, and 1456 solutions. This textbook survival guide was created for the textbook: Differential Equations 00, edition: 4. The answer to “Model radioactive decay using the notation t = time (independent variable), r(t) = amount of particular radioactive isotope present at time t (dependent variable), = decay rate (parameter). Note that the minus sign is used so that > 0. (a) Using this notation, write a model for the decay of a particular radioactive isotope. (b) If the amount of the isotope present at t = 0 is r0, state the corresponding initial-value problem for the model in part (a).” is broken down into a number of easy to follow steps, and 79 words.

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Model radioactive decay using the notation t = time