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Beliebt Rechnen >

laplacetransform sin((2t)/3)

Lösung

laplace transformation

sin (\frac{2 t}{3})

Lösung

\frac{6}{9 s ^{2} + 4}

Schritte zur Lösung

L {sin (\frac{2 t}{3})}

Wende Laplace-Transformationstabelle an:

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

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

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

= \frac{6}{9 s ^{2} + 4}

Beliebte Beispiele

derivative of x/((x-7^2))

\frac{d}{d x} (\frac{x}{( x - 7 ) ^{2}})

inverselaplace (6s-5)/(s^2+7)

in v erse l a pl a ce \frac{6 s - 5}{s ^{2} + 7}

y^'-(2y)/x =x^3y^{-3}

y^{^{'}} - \frac{2 y}{x} = x^{3} y^{- 3}

derivative of-e^{-x}x

\frac{d}{d x} (- e^{- x} x)

faktorisieren t^3+t

f a c t or t^{3} + t