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Beliebt Rechnen >

inverselaplace {1/(s^2)-(48)/(s^5)}

Lösung

inverse laplace transformation

{\frac{1}{s ^{2}} - \frac{48}{s ^{5}}}

Lösung

t - 2 t^{4}

Schritte zur Lösung

L^{- 1} {\frac{1}{s ^{2}} - \frac{48}{s ^{5}}}

Wende die lineare Eigenschaftder inversen Laplace-Transformation an:

Für Funktionen

f (s), g (s)

und Konstanten

a, b : L^{- 1} {a \cdot f (s) + b \cdot g (s)} = a \cdot L^{- 1} {f (s)} + b \cdot L^{- 1} {g (s)}

= L^{- 1} {\frac{1}{s ^{2}}} - L^{- 1} {\frac{48}{s ^{5}}}

L^{- 1} {\frac{1}{s ^{2}}} : t

L^{- 1} {\frac{48}{s ^{5}}} : 2 t^{4}

= t - 2 t^{4}

Beliebte Beispiele

d/(dθ)(3cos(θ)-4sin(θ))

\frac{d}{d θ} (3 cos (θ) - 4 sin (θ))

fläche y=x^4,x=y^7,x=0,x=1

a re a y = x^{4}, x = y^{7}, x = 0, x = 1

integral from 0 to 1 of arctan(x)

\int_{0}^{1} arctan (x) d x

(\partial)/(\partial x)((x-2)^2+(y-2)^2)

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

(\partial)/(\partial s)(r+s)

\frac{\partial}{\partial s} (r + s)