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Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 7.3 - Problem 19e
Get Full Access to Fundamentals Of Differential Equations - 8 Edition - Chapter 7.3 - Problem 19e

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

ISBN: 9780321747730 43

## Solution for problem 19E Chapter 7.3

Fundamentals of Differential Equations | 8th Edition

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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

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