Ordinary Differential Equations Homework 3 Solution

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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