laplace transform sin(3x+4)

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laplace transform sin(3x+4)

Solution

sin(4)s+3cos(4)s²+9

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L{sin(3x+4)}

Use Laplace Transform table: L{sin(at+b)}=s·sin(b)+a·cos(b)s²+a²

L{sin(3x+4)}=ssin(4)+3cos(4)s²+3²

=ssin(4)+3cos(4)s²+3²

=sin(4)s+3cos(4)s²+9

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inverse laplace sin(3x+4)

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laplace transform sin(3x+4)

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