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Get Full Access to Elementary Differential Equations And Boundary Value Problems - 10 Edition - Chapter 10.5 - Problem 12
Get Full Access to Elementary Differential Equations And Boundary Value Problems - 10 Edition - Chapter 10.5 - Problem 12

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# Consider the conduction of heat in a rod 40 cm in length

ISBN: 9780470458310 168

## Solution for problem 12 Chapter 10.5

Elementary Differential Equations and Boundary Value Problems | 10th Edition

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Problem 12

Consider the conduction of heat in a rod 40 cm in length whose ends are maintained at 0C for all t > 0. In each of 9 through 12, find an expression for the temperature u(x, t) if the initial temperature distribution in the rod is the given function. Suppose that 2 = 1.u(x, 0) = x, 0 < x < 40

Step-by-Step Solution:
Step 1 of 3

.Let's begin with the first question. What was the prediction given in the article in 1990 The wording in the book is somewhat vague. Specifically, the question is asking what the quadratic model predicted for the year 2035. So, since t=0 represents 1960, and we want to represent 2035, we will take the difference. That gives us: .Now we will look at the second question. Does this prediction for the year 2035 seem accurate The question is asking how the prediction given by the quadratic model (which uses data from 1960‐1990) compares with the prediction given by the linear model (which uses data from 1980‐2010) .Therefore, the prediction given by quadratic model is too high (when compared to the linear model). These models were developed using a procedure cal

Step 2 of 3

Step 3 of 3

##### ISBN: 9780470458310

This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 2039 solutions. The full step-by-step solution to problem: 12 from chapter: 10.5 was answered by , our top Math solution expert on 12/23/17, 04:36PM. Since the solution to 12 from 10.5 chapter was answered, more than 249 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Elementary Differential Equations and Boundary Value Problems, edition: 10. Elementary Differential Equations and Boundary Value Problems was written by and is associated to the ISBN: 9780470458310. The answer to “Consider the conduction of heat in a rod 40 cm in length whose ends are maintained at 0C for all t > 0. In each of 9 through 12, find an expression for the temperature u(x, t) if the initial temperature distribution in the rod is the given function. Suppose that 2 = 1.u(x, 0) = x, 0 < x < 40” is broken down into a number of easy to follow steps, and 62 words.

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