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The following nonlinear differential equation was solved in Examples 24.4 and 24.7. 0 =

ISBN: 9780073401102 336

Solution for problem 24.5 Chapter 24

Applied Numerical Methods W/MATLAB: for Engineers & Scientists | 3rd Edition

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Problem 24.5

The following nonlinear differential equation was solved in Examples 24.4 and 24.7. 0 = d2T dx2 + h (T T ) + (T 4 T 4) (P24.5) Such equations are sometimes linearized to obtain an approximate solution. This is done by employing a first-order Taylor series expansion to linearize the quartic term in the equation as T 4 = T 4 + 4 T 3(T T) where T is a base temperature about which the term is linearized. Substitute this relationship into Eq. (P24.5), and then solve the resulting linear equation with the finitedifference approach. Employ T = 300,x = 1 m, and the parameters from Example 24.4 to obtain your solution. Plot your results along with those obtained for the nonlinear versions in Examples 24.4 and 24.7.

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ISBN: 9780073401102

This textbook survival guide was created for the textbook: Applied Numerical Methods W/MATLAB: for Engineers & Scientists , edition: 3. The full step-by-step solution to problem: 24.5 from chapter: 24 was answered by , our top Engineering and Tech solution expert on 03/05/18, 09:01PM. Applied Numerical Methods W/MATLAB: for Engineers & Scientists was written by and is associated to the ISBN: 9780073401102. Since the solution to 24.5 from 24 chapter was answered, more than 216 students have viewed the full step-by-step answer. The answer to “The following nonlinear differential equation was solved in Examples 24.4 and 24.7. 0 = d2T dx2 + h (T T ) + (T 4 T 4) (P24.5) Such equations are sometimes linearized to obtain an approximate solution. This is done by employing a first-order Taylor series expansion to linearize the quartic term in the equation as T 4 = T 4 + 4 T 3(T T) where T is a base temperature about which the term is linearized. Substitute this relationship into Eq. (P24.5), and then solve the resulting linear equation with the finitedifference approach. Employ T = 300,x = 1 m, and the parameters from Example 24.4 to obtain your solution. Plot your results along with those obtained for the nonlinear versions in Examples 24.4 and 24.7.” is broken down into a number of easy to follow steps, and 128 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 24 chapters, and 496 solutions.

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The following nonlinear differential equation was solved in Examples 24.4 and 24.7. 0 =

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