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. Section 48: Problems 5c.
6. Section 49: Problems 2.
7. Section 49: Problems 4.
8. Section 50: Problems 3a.
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