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Beliebt Rechnen >

inverselaplace 2/((s+1)^2)

Lösung

inverse laplace transformation

\frac{2}{( s + 1 ) ^{2}}

Lösung

e^{- t} \cdot 2 t

Schritte zur Lösung

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

Wende inverse Transformationsregel an: if

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

dann

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

Für

\frac{2}{( s + 1 ) ^{2}} : a = - 1, F (s) = \frac{2}{s ^{2}}

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

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

= e^{- t} \cdot 2 t

Beliebte Beispiele

integral of 6cos^2(x)

\int 6 cos^{2} (x) d x

y^{''}+7y^'-18y=0

y^{^{''}} + 7 y^{^{'}} - 18 y = 0

derivative (x-5xsqrt(x))/(sqrt(x))

d er i v a t i v e \frac{x - 5 x x}{x}

limit as x approaches 5 of (12)/(5-x)

x \to 5 lim (\frac{12}{5 - x})

integral of 1/(100-x^2)

\int \frac{1}{100 - x ^{2}} d x