Did my professor do this laplace-inverse wrong?

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Nikitin
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Hey, I get a different answer than the solutions manual. Did my prof do this laplace transform wrong?
Typeset math: a Laplace-inverse step in Norwegian with the equation i(t) = -2e^(-t) + 2e^(-2t)(2 cos 4t + 9 sin 4t) + e^(-4)u(t-4)[2e^(-(t-4)) + e^(-2(t-4))(2 cos 4(t-4) + 9 sin 4(t-4))], followed by a rewritten line, with handwritten-looking marks over the coefficients.


Basically I think the 2 in-front of e^-2t should be a 1 instead.

thanks for help :)
 
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  • Typeset math showing a partial-fraction step of a Laplace transform, followed by a Norwegian sentence and the inverse transform i(t) written out with terms e^-t, e^-2t(2 cos 4t + 9 sin 4t) and u(t-4).
    laplacemistake.png
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