The Laplace transform of a function formula_1, written as formula_2 or formula_3, is often formulated as:
ð ə WORD_BOUNDARY l æ p l eɪ s WORD_BOUNDARY t ɹ æ n s f ɔ ɹ m WORD_BOUNDARY ə v ə WORD_BOUNDARY f ʌ ŋ k ʃ ə n WORD_BOUNDARY f ɔ ɹ m j ʊ l ə WORD_BOUNDARY w ʌ n WORD_BOUNDARY ɹ ɪ t ə n WORD_BOUNDARY æ z WORD_BOUNDARY f ɔ ɹ m j ʊ l ə WORD_BOUNDARY t uː WORD_BOUNDARY ɔ ɹ WORD_BOUNDARY f ɔ ɹ m j ʊ l ə WORD_BOUNDARY θ ɹ iː WORD_BOUNDARY ɪ z WORD_BOUNDARY ɔ f ə n WORD_BOUNDARY f ɔ ɹ m j ʊ l eɪ t ɪ d WORD_BOUNDARY æ z WORD_BOUNDARY