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Beliebt Rechnen >

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

Lösung

inverse laplace transformation

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

Lösung

e^{- 3 t} t

Schritte zur Lösung

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

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

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

= e^{- 3 t} t

Beliebte Beispiele

integral of tanh(x)

\int tanh (x) d x

(\partial)/(\partial z)(xyz^2)

\frac{\partial}{\partial z} (x y z^{2})

derivative of sin(3x+cos(3x))

\frac{d}{d x} (sin (3 x) + cos (3 x))

integral of 7arccos(x)

\int 7 arccos (x) d x

integral of 1/(sqrt(x^2+b^2))

\int \frac{1}{x ^{2} + b ^{2}} d x