Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
dx = a dt + b dz (14.3) where a and b are constants. To understand equation (14.3), it is useful to consider the two components on the right-hand side separately. The a dt term implies that x has an expected drift rate of a per unit of time. Without the b dz term, the equation is dx = a dt, which implies that dx/dt = a. Integrating with respect to time, we get x = xo + at where xo is the value of x at time 0. In a period of time of length T, the variable x increases by an amount aT. The b dz term on the right-hand side of equation (14.3) can

dx = a dt + b dz (14.3) where a and b are constants. To understand equation (14.3), it is useful to consider the two components on the right-hand side separately. The a dt term implies that x has an expected drift rate of a per unit of time. Without the b dz term, the equation is dx = a dt, which implies that dx/dt = a. Integrating with respect to time, we get x = xo + at where xo is the value of x at time 0. In a period of time of length T, the variable x increases by an amount aT. The b dz term on the right-hand side of equation (14.3) can

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
100%

Can you show the step by step process of how to integrate with respect to time?

dx = a dt + b dz (14.3) where a and b are constants. To understand equation (14.3), it is useful to consider the two components on the right-hand side separately. The a dt term implies that x has an expected drift rate of a per unit of time. Without the b dz term, the equation is dx = a dt, which implies that dx/dt = a. Integrating with respect to time, we get x = xo + at where xo is the value of x at time 0. In a period of time of length T, the variable x increases by an amount aT. The b dz term on the right-hand side of equation (14.3) can
Transcribed Image Text:dx = a dt + b dz (14.3) where a and b are constants. To understand equation (14.3), it is useful to consider the two components on the right-hand side separately. The a dt term implies that x has an expected drift rate of a per unit of time. Without the b dz term, the equation is dx = a dt, which implies that dx/dt = a. Integrating with respect to time, we get x = xo + at where xo is the value of x at time 0. In a period of time of length T, the variable x increases by an amount aT. The b dz term on the right-hand side of equation (14.3) can
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Different Types of System and Its Property
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.
Similar questions
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