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Beliebt Rechnen >

laplacetransform e^{-0.75t}*cos(4t)

Lösung

laplace transformation

e^{- 0.75 t} \cdot cos (4 t)

Lösung

\frac{s + 0.75}{( s + 0.75 ) ^{2} + 16}

Schritte zur Lösung

L {e^{- 0.75 t} cos (4 t)}

Wende Transformationsregel an: wenn

L {f (t)} = F (s)

dann

L {e^{a t} f (t)} = F (s - a)

Für

e^{- 0.75 t} cos (4 t) : f (t) = cos (4 t), a = - 0.75

= L {cos (4 t)} (s + 0.75)

L {cos (4 t)} : \frac{s}{s ^{2} + 16}

= \frac{( s + 0.75 )}{( s + 0.75 ) ^{2} + 16}

= \frac{s + 0.75}{( s + 0.75 ) ^{2} + 16}

Beliebte Beispiele

derivative of 3^{(1-3x})

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

inverselaplace 20+(10)/s*1/(8s+1)

in v erse l a pl a ce 20 + \frac{10}{s} \cdot \frac{1}{8 s + 1}

integral of 1/(y^2sqrt(y^2-7))

\int \frac{1}{y ^{2} y ^{2} - 7} d y

derivative (sin(2x)cos(3x))/x

d er i v a t i v e \frac{sin ( 2 x ) cos ( 3 x )}{x}

derivative sin(x)tan(x)

d er i v a t i v e sin (x) tan (x)