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Beliebt Rechnen >

inverselaplace ((s-2))/((s-2)^2-3)

Lösung

inverse laplace transformation

\frac{( s - 2 )}{( s - 2 ) ^{2} - 3}

Lösung

e^{2 t} cosh (3 t)

Schritte zur Lösung

L^{- 1} {\frac{( s - 2 )}{( s - 2 ) ^{2} - 3}}

Wende inverse Transformationsregel an: if

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

dann

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

Für

\frac{s - 2}{( s - 2 ) ^{2} - 3} : a = 2, F (s) = \frac{s}{s ^{2} - 3}

= e^{2 t} L^{- 1} {\frac{s}{s ^{2} - 3}}

L^{- 1} {\frac{s}{s ^{2} - 3}} : cosh (3 t)

= e^{2 t} cosh (3 t)

Beliebte Beispiele

integral of ((e^x))/(1+e^x)

\int \frac{( e ^{x} )}{1 + e ^{x}} d x

derivative y=4tsqrt(t+7)

d er i v a t i v e y = 4 t t + 7

integral from-2 to 2 of x^2-1

\int_{- 2}^{2} x^{2} - 1 d x

derivative f(x)=2e^{-x}

d er i v a t i v e f (x) = 2 e^{- x}

integral of 4sin^4(x)cos^2(x)

\int 4 sin^{4} (x) cos^{2} (x) d x