×
Log in to StudySoup
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 7.4 - Problem 42e
Join StudySoup for FREE
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 7.4 - Problem 42e

Already have an account? Login here
×
Reset your password

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

Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider ISBN: 9780321747730 43

Solution for problem 42E Chapter 7.4

Fundamentals of Differential Equations | 8th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Fundamentals of Differential Equations | 8th Edition | ISBN: 9780321747730 | Authors: R. Kent Nagle, Edward B. Saff, Arthur David Snider

Fundamentals of Differential Equations | 8th Edition

4 5 1 237 Reviews
24
1
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 ?.)

Step-by-Step Solution:
Step 1 of 3

Carbohydrates: Monday, September 18, 2017 2:34 PM What are carbohydrates • Essential vs. Non-essential- they're not essential • Organic vs. Non-organic- It is organic nutrient because it contains carbon. • Still necessary for optimal health • Composed of C, H, and O. Ratio is same as water 2:1 • Glucose: C6H12O6 "hexose sugar" • Glucose comes from photosynthesis (plants store in starch: long linked glucose) Monosaccharides: • Glucose is an example • Mono- one • Saccharide- sugar • Fructose, Galactose, Glucose • Glucose: blood sugar -significant to nutrition -in fruits and veggies • Fructose: -Fruit sugar, honey, soda, high-fructose corn syrup -sweeter than glucose -5-side

Step 2 of 3

Chapter 7.4, Problem 42E is Solved
Step 3 of 3

Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
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.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

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