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Calculus / Fundamentals of Differential Equations 8 / Chapter 2.3 / Problem 32E

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

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Discontinuous Forcing Terms. There are occasions when the

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QUESTION:

Discontinuous Forcing Terms. There are occasions when the forcing term Q (x) in a linear equation fails to be continuous because of jump discontinuities. Fortunately, we may still obtain a reasonable solution imitating the procedure discussed in 31. Use this procedure to find the continuous solution to the initial value problem. Sketch the graph of the solution from x = 0 to x = 7.

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QUESTION:

Discontinuous Forcing Terms. There are occasions when the forcing term Q (x) in a linear equation fails to be continuous because of jump discontinuities. Fortunately, we may still obtain a reasonable solution imitating the procedure discussed in 31. Use this procedure to find the continuous solution to the initial value problem. Sketch the graph of the solution from x = 0 to x = 7.

ANSWER:

Solution:Step 1In this problem we have given equation is , where for .And for And we have to use, .

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