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Beliebt Rechnen >

inverselaplace 1/((s+3)^2)

Lösung

inverse laplace transformation

\frac{1}{( s + 3 ) ^{2}}

Lösung

e^{- 3 t} t

Schritte zur Lösung

L^{- 1} {\frac{1}{( s + 3 ) ^{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{1}{( s + 3 ) ^{2}} : a = - 3, F (s) = \frac{1}{s ^{2}}

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

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

= e^{- 3 t} t

Beliebte Beispiele

tangent (5x)/(sqrt(4-x^2))

t an g e n t \frac{5 x}{4 - x ^{2}}

derivative 8x^2cos(x)cot(x)

d er i v a t i v e 8 x^{2} cos (x) cot (x)

y^'=(6x^6e^{y/x}+x^4y^2)/(x^5y)

y^{^{'}} = \frac{6 x ^{6} e ^{\frac{y}{x}} + x ^{4} y ^{2}}{x ^{5} y}

integral of (x^2-7x+5)

\int (x^{2} - 7 x + 5) d x

derivative of (4-2x-x^3/(3x-x^4))

\frac{d}{d x} (\frac{4 - 2 x - x ^{3}}{3 x - x ^{4}})