×
Log in to StudySoup
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 7.3 - Problem 19e
Join StudySoup for FREE
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 7.3 - Problem 19e

Already have an account? Login here
×
Reset your password

In 1–20, determine the Laplace transform of | Ch 7.3 - 19E

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

Solution for problem 19E Chapter 7.3

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 1 300 Reviews
20
5
Problem 19E

In Problems 1–20, determine the Laplace transform of the given function using Table 7.1 and the properties of the transform given in Table 7.2. [Hint: In Problems 12–20, use an appropriate trigonometric identity.]

\(\text { cosnt }\) \(\text { sinmt }\)

\(m \neq n\)

Equation transcription:

Text transcription:

{ cosnt }

{ sinmt }

m neq n

Step-by-Step Solution:

Solution

Here,

where,

We have to find  

Step 1

We know that as per basic trigonometric expansion

So,

According to laplace transformation

On solving the expansion, we get

Therefore,

.

Step 2 of 1

Chapter 7.3, Problem 19E is Solved
Textbook: Fundamentals of Differential Equations
Edition: 8
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
ISBN: 9780321747730

Other solutions

Discover and learn what students are asking



Calculus: Early Transcendental Functions : Inverse Trigonometric Functions: Integration
?In Exercises 1-20, find the indefinite integral. \(\int \frac{12}{1+9 x^{2}} d x\)







Statistics: Informed Decisions Using Data : The Randomized Complete Block Design
?How does the completely randomized design differ from a randomized complete block design?



People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

In 1–20, determine the Laplace transform of | Ch 7.3 - 19E