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Beliebt Rechnen >

laplacetransform sin(2t+3)

Lösung

laplace transformation

sin (2 t + 3)

Lösung

\frac{sin ( 3 ) s + 2 cos ( 3 )}{s ^{2} + 4}

Schritte zur Lösung

L {sin (2 t + 3)}

Wende Laplace-Transformationstabelle an:

L {sin (a t + b)} = \frac{s \cdot sin ( b ) + a \cdot cos ( b )}{s ^{2} + a ^{2}}

L {sin (2 t + 3)} = \frac{s sin ( 3 ) + 2 cos ( 3 )}{s ^{2} + 2 ^{2}}

= \frac{s sin ( 3 ) + 2 cos ( 3 )}{s ^{2} + 2 ^{2}}

= \frac{sin ( 3 ) s + 2 cos ( 3 )}{s ^{2} + 4}

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