Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
(aE1 + bE2 + c)z(k, l) = F(k,l), (5.183) e constants, and F(k, l) satisfies the condition (aE1 + bE2 + c)F(k,l) = 0. (5.184)

(aE1 + bE2 + c)z(k, l) = F(k,l), (5.183) e constants, and F(k, l) satisfies the condition (aE1 + bE2 + c)F(k,l) = 0. (5.184)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question

Explain the determine blue and the eqaution is here

(aE1 + bE2 + c)z(k, l) = F(k,l), (5.183) where a, b, and c are constants, and F(k, l) satisfies the condition (aE1 + bE2 + c)F(k,l) = 0. (5.184)
Transcribed Image Text:(aE1 + bE2 + c)z(k, l) = F(k,l), (5.183) where a, b, and c are constants, and F(k, l) satisfies the condition (aE1 + bE2 + c)F(k,l) = 0. (5.184)
5.5.5 Example E O in equation (5.183) and continue to assume that F(k, l) is a solution to the homogeneous equation. Under these conditions, we have Assume that c= (aE1 +bE2)z(k, l) = F(k,l) (5.189) and (aE1 + bE2)F(k, l) = 0. (5.190) The solution to the last equation is (F(k, e) = (-6/a)*f(e + k), (5.191) where f is an arbitrary function of l + k. Examination of the left-hand side of equation (5.189) shows that it is of a form such that Laplace's method can be used to obtain a solution. If we let k +l = m = constant, Vk = z(k, l) = z(k, m – k), (5.192) then vk satisfies the first-order inhomogeneous equation avk+1 +bvk = (-b/a)*f(m), (5.193) where we have used the results of equations (5.191) and (5.192) to replace the right-hand side of equation (5.189). Note that f(m) is a constant. Solving for Vk gives k k Uk = A (5.194) a where A is an arbitrary constant. Replacing m by l+k and A by an arbitrary function of l +k gives the complete solution to equation (5.189), under the assumption of equation (5.190), k z(k, l) = g(e + k) - (--) sce+ k). f(l + k). (5.195)
Transcribed Image Text:5.5.5 Example E O in equation (5.183) and continue to assume that F(k, l) is a solution to the homogeneous equation. Under these conditions, we have Assume that c= (aE1 +bE2)z(k, l) = F(k,l) (5.189) and (aE1 + bE2)F(k, l) = 0. (5.190) The solution to the last equation is (F(k, e) = (-6/a)*f(e + k), (5.191) where f is an arbitrary function of l + k. Examination of the left-hand side of equation (5.189) shows that it is of a form such that Laplace's method can be used to obtain a solution. If we let k +l = m = constant, Vk = z(k, l) = z(k, m – k), (5.192) then vk satisfies the first-order inhomogeneous equation avk+1 +bvk = (-b/a)*f(m), (5.193) where we have used the results of equations (5.191) and (5.192) to replace the right-hand side of equation (5.189). Note that f(m) is a constant. Solving for Vk gives k k Uk = A (5.194) a where A is an arbitrary constant. Replacing m by l+k and A by an arbitrary function of l +k gives the complete solution to equation (5.189), under the assumption of equation (5.190), k z(k, l) = g(e + k) - (--) sce+ k). f(l + k). (5.195)
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Digital Modulation Scheme (Amplitude-Shift Keying [ASK], Phase-Shift Keying [PSK], Frequency-Shift Keying [FSK])
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS