Find the inverse Laplace transform of F(s)=(9s−24)/(s^2−6s+13)

Hanna Webster

Hanna Webster

Answered question

2022-11-05

Find the inverse Laplace transform of F ( s ) = ( 9 s 24 ) / ( s 2 6 s + 13 )

Answer & Explanation

Cseszteq5j

Cseszteq5j

Beginner2022-11-06Added 17 answers

Use
L ( e a t cos b t ) = s a ( s a ) 2 + b 2
and
L ( e a t sin b t ) = b ( s a ) 2 + b 2
Using Partial fraction
9 s 24 ( s 3 ) 2 + 2 2 = A ( s 3 ) ( s 3 ) 2 + 2 2 + B 2 ( s 3 ) 2 + 2 2
where A,B are arbitrary constants

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