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Beliebt Rechnen >

inverselaplace e^{-s} 1/(s-4)

Lösung

inverse laplace transformation

e^{- s} \frac{1}{s - 4}

Lösung

H (t - 1) e^{4 (t - 1)}

Schritte zur Lösung

L^{- 1} {e^{- s} \frac{1}{s - 4}}

Wende inverse Transformationsregel an: if

L^{- 1} {F (s)} = f (t)

dann

L^{- 1} {e^{- a s} F (s)} = H (t - a) f (t - a)

Wo

H (t)

Heaviside (Schritt) Funktion ist

= H (t - 1) L^{- 1} {\frac{1}{s - 4}} (t - 1)

L^{- 1} {\frac{1}{s - 4}} : e^{4 t}

= H (t - 1) e^{4 (t - 1)}

Beliebte Beispiele

limit as x approaches infinity+of (2x+1)/(4x^2+x)

x \to \infty + lim (\frac{2 x + 1}{4 x ^{2} + x})

y/x*(dy)/(dx)=-4-(y^2)/(x^2)

\frac{y}{x} \cdot \frac{d y}{d x} = - 4 - \frac{y ^{2}}{x ^{2}}

limit as x approaches 3 of 1/x

x \to 3 lim (\frac{1}{x})

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

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

tangent y=x^3-2x+2,(3,23)

t an g e n t y = x^{3} - 2 x + 2, (3, 23)