Ordinary Differential Equations Homework 3 Solution

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Laplace Transforms: 1. Show that the following functions are of exponential order ◦ f(t) = t3 sin(t) ◦ g(t) = t2et 2. Let f(t) be a piecewise continuous on [0, ∞) and of exponential order, prove that lim L (s) = 0 . s→∞ 3. Section 48: Problems 2. 4. Section 48: Problems 4c. 5.…

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Laplace Transforms:

1. Show that the following functions are of exponential order

◦ f(t) = t3 sin(t)

◦ g(t) = t2et

2. Let f(t) be a piecewise continuous on [0, ∞) and of exponential order,
prove that
lim L (s) = 0 .

s→∞

3. Section 48: Problems 2.

4. Section 48: Problems 4c.

5. Section 48: Problems 5c.

6. Section 49: Problems 2.

7. Section 49: Problems 4.

8. Section 50: Problems 3a.

 

 

 

 

 

 

 

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Ordinary Differential Equations Homework 3 Solution
$30.00 $24.00