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Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 7.4 - Problem 42e
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 7.4 - Problem 42e

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# Complex Residues. Let P(s)/Q(s) be a rational function

ISBN: 9780321747730 43

## Solution for problem 42E Chapter 7.4

Fundamentals of Differential Equations | 8th Edition

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Problem 42E

Complex Residues. Let P(s)/Q(s) be a rational function with deg P < deg Q and suppose (s-?)2 + ?2 is a nonrepeated quadratic factor of Q. (That is, are complex conjugate zeros of Q.) Prove that the portion of the partial fraction expansion of P(s)/Q(s) corresponding to (s-?)2+?2 is where the complex residue ?B+i?A is given by the formula (Thus we can determine B and A by taking the real and imaginary parts of the limit and dividing them by ?.)

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##### ISBN: 9780321747730

The answer to “Complex Residues. Let P(s)/Q(s) be a rational function with deg P < deg Q and suppose (s-?)2 + ?2 is a nonrepeated quadratic factor of Q. (That is, are complex conjugate zeros of Q.) Prove that the portion of the partial fraction expansion of P(s)/Q(s) corresponding to (s-?)2+?2 is where the complex residue ?B+i?A is given by the formula (Thus we can determine B and A by taking the real and imaginary parts of the limit and dividing them by ?.)” is broken down into a number of easy to follow steps, and 81 words. This textbook survival guide was created for the textbook: Fundamentals of Differential Equations , edition: 8. The full step-by-step solution to problem: 42E from chapter: 7.4 was answered by , our top Calculus solution expert on 07/11/17, 04:37AM. This full solution covers the following key subjects: complex, deg, nonrepeated, conjugate, determine. This expansive textbook survival guide covers 67 chapters, and 2118 solutions. Since the solution to 42E from 7.4 chapter was answered, more than 274 students have viewed the full step-by-step answer. Fundamentals of Differential Equations was written by and is associated to the ISBN: 9780321747730.

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Complex Residues. Let P(s)/Q(s) be a rational function