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Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer...

Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) ℒ−1 1 s2 + s − 12

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aiven inverse Laplace transform AUS Plis-is] partial Fractions are B 1 1 s+4 s²+5-12 (5+4) (33) རྒྱུ་ 2 AL33) + Bls+4) stuss}AABEO -BA+UB=1 solving and . Then 0x3 => ZA+B=0 Ixls) BA & 4B El 73 Ela D BE A AS BE ř , then As substitute As. - I Be Ž in D->f415 - 11 szü} + 2 El =flt)= e-4t Žest flt)= Ilest tt). la Answer flt) = Lest eht]

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Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer...
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