Explanation Given: The initial intensity is I 0 and the intensity below 3 feet is 25 % of I 0 . Procedure used: (1) Form a differential equation. (2) Integrate the differential equation. (3) Apply initial conditions. Calculation: Form the differential equation. d I d t = k I d P I = k d t (1) Here, intensity is I , the constant is k and the distance is t . Integrate equation (1). ∫ d I I = ∫ k d t ln I = k t + c I = e k t e c (2) Substitute I 0 for e c in equation (2). I = I 0 e k t (3) Substitute 0.25 I 0 for P and 3 for t in equation (3)

6th Edition

ISBN: 9781284105902

Author: Dennis G. Zill

Publisher: Jones & Bartlett Learning

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Differential Equations

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Chapter 2.7, Problem 9E

To determine

The intensity of beam below 15 feet.

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Chapter 2.7, Problem 8E

Chapter 2.7, Problem 10E

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The intensity of beam below 15 feet .

Solution Summary: The author explains how the intensity of beam below 15-feet is underset0.00098I_0.

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Chapter 2 Solutions