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    Laplace of constants and powers of t

    \( \begingroup \)

    Question 1

    You may use a table of Laplace transforms in order to answer the following questions.

    a)

    Find $L\{\var{a} \}$.

    $L\{k\}=\frac{k}{s}$

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            b)

            Find $L\{\var{b}t \}$.

            $L\{t\}=\frac{1}{s^2}$

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                    c)

                    Find $L\{\var{a}+\var{b}t \}$.

                    $L\{k\}=\frac{k}{s}$

                    $L\{t\}=\frac{1}{s^2}$

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                            d)

                            Find $L\{t^\var{a}\}$.

                            $L\{t^n\}=\frac{n!}{s^{n+1}}$

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                                    e)

                                    Find $L\{\var{a}t^\var{c}+\var{b}t^\var{d}\}$.

                                    $L\{t^n\}=\frac{n!}{s^{n+1}}$

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                                            \( \endgroup \)

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