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Додаток B: Таблиця перетворень Лапласа
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\ (F (s) =\ математичний {L}\ {f (t)\} =\ int_ {0} ^ {\ infty} e^ {-st} f (t) дт\) "> $s^{3}G(s)-s^{2}g(0)-sg'(0)-g''(0)$ \ (F (s) =\ математичний {L}\ {f (t)\} =\ int_ {0} ^ {\ infty} e^ {-st} f (t)...\ (F (s) =\ математичний {L}\ {f (t)\} =\ int_ {0} ^ {\ infty} e^ {-st} f (t) дт\) "> $s^{3}G(s)-s^{2}g(0)-sg'(0)-g''(0)$ \ (F (s) =\ математичний {L}\ {f (t)\} =\ int_ {0} ^ {\ infty} e^ {-st} f (t) дт\) "> $s^{n}G(s)-s^{n-1}g(0)-\cdots -g^{(n-1)}(0)$ \ (F (s) =\ математичний {L}\ {f (t)\} =\ int_ {0} ^ {\ infty} e^ {-st} f (t) дт\) "> $-F'(s)$ \ (F (s) =\ математичний {L}\ {f (t)\} =\ int_ {0} ^ {\ infty} e^ {-st} f (t) дт\) "> $\int_{s}^{\infty} F(\sigma )d\sigma$