   # A differential equation is d 2 y d t 2 = A y 2 + B y t where y represents a distance and t is time. Determine the dimensions of constants A and B for which the equation will be dimensionally homogeneous. ### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607

#### Solutions

Chapter
Section ### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607
Chapter 1, Problem 1.10P
Textbook Problem
4 views

## A differential equation is d 2 y d t 2 = A y 2 + B y t where y represents a distance and t is time. Determine the dimensions of constants A and B for which the equation will be dimensionally homogeneous.

To determine

The dimensions of constants A and B.

### Explanation of Solution

The equation,

d2ydt2=Ay2+Byt, is dimensionally homogeneous.

[y]=[L][t]=[T]

Calculation:

The given equation is dimensionally homogeneous.

d2ydt2=Ay2+Byt[ d 2yd t 2]=[Ay2]=[Byt]

Take the first part of equation,

[ d 2yd t 2]=

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
What is the gear ratio found in the gear train of most indexing heads?

Precision Machining Technology (MindTap Course List)

Outline the extract, transform, and load process.

Fundamentals of Information Systems

List the sections of a system design specification, and describe the contents.

Systems Analysis and Design (Shelly Cashman Series) (MindTap Course List)

How do you solve a set of linear equations with Excel?

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

digital certificate a. compromised computer or device whose owner is unaware the computer or device is being co...

Enhanced Discovering Computers 2017 (Shelly Cashman Series) (MindTap Course List)

What fabric(s) are the best choice to wear as general work clothing in a welding shop?

Welding: Principles and Applications (MindTap Course List)

If your motherboard supports ECC DDR3 memory, can you substitute non-ECC DDR3 memory?

A+ Guide to Hardware (Standalone Book) (MindTap Course List) 