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determine-L-f-3-x-with-L-is-laplace-transform-




Question Number 95838 by mathmax by abdo last updated on 28/May/20
determine L(f^((3)) (x)  with L is laplace transform
determineL(f(3)(x)withLislaplacetransform
Answered by mathmax by abdo last updated on 28/May/20
L(f^((3)) (x)) =L((f^′ )^(′′) ) =x^2 L(f^′ )−x f^′ (0)−f^(′′) (0)  =x^2 ( xL(f)−f(0))−xf^′ (0)−f^(′′) (0)  =x^3  L(f)−x^2 f(0)−xf^′ (0)−f^(′′) (0)
L(f(3)(x))=L((f))=x2L(f)xf(0)f(0)=x2(xL(f)f(0))xf(0)f(0)=x3L(f)x2f(0)xf(0)f(0)

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