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Beliebt Rechnen >

laplacetransform sin(4t-5)

Lösung

laplace transformation

sin (4 t - 5)

Lösung

\frac{- sin ( 5 ) s + 4 cos ( 5 )}{s ^{2} + 16}

Schritte zur Lösung

L {sin (4 t - 5)}

Wende Laplace-Transformationstabelle an:

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

L {sin (4 t - 5)} = \frac{s sin ( - 5 ) + 4 cos ( - 5 )}{s ^{2} + 4 ^{2}}

= \frac{s sin ( - 5 ) + 4 cos ( - 5 )}{s ^{2} + 4 ^{2}}

= \frac{- sin ( 5 ) s + 4 cos ( 5 )}{s ^{2} + 16}

Beliebte Beispiele

(\partial)/(\partial x)(xy(1-x^2-y^2))

\frac{\partial}{\partial x} (x y (1 - x^{2} - y^{2}))

derivative of 2/(x-4)

\frac{d}{d x} (\frac{2}{x - 4})

(6xy-2y^2+1)dx+(3x^2-4xy)dy=0

(6 x y - 2 y^{2} + 1) d x + (3 x^{2} - 4 x y) d y = 0

integral of 5/(6x+5)

\int \frac{5}{6 x + 5} d x

derivative x/(7x^2+1)

d er i v a t i v e \frac{x}{7 x ^{2} + 1}