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Beliebt Rechnen >

laplacetransform sin(5t-10)

Lösung

laplace transformation

sin (5 t - 10)

Lösung

\frac{- sin ( 10 ) s + 5 cos ( 10 )}{s ^{2} + 25}

Schritte zur Lösung

L {sin (5 t - 10)}

Wende Laplace-Transformationstabelle an:

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

L {sin (5 t - 10)} = \frac{s sin ( - 10 ) + 5 cos ( - 10 )}{s ^{2} + 5 ^{2}}

= \frac{s sin ( - 10 ) + 5 cos ( - 10 )}{s ^{2} + 5 ^{2}}

= \frac{- sin ( 10 ) s + 5 cos ( 10 )}{s ^{2} + 25}

Beliebte Beispiele

integral from 2 to 5 of x^4

\int_{2}^{5} x^{4} d x

derivative (2x^2+5)(4x-1)

d er i v a t i v e (2 x^{2} + 5) (4 x - 1)

y^'+4y=xe^{-4x}

y^{^{'}} + 4 y = x e^{- 4 x}

integral from-1 to 2 of xe^{xy}

\int_{- 1}^{2} x e^{x y} d y

derivative of 1+2e^x-3x

\frac{d}{d x} (1 + 2 e^{x} - 3 x)