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Beliebt Rechnen >

inverselaplace 1/((s-4)^2)

Lösung

inverse laplace transformation

\frac{1}{( s - 4 ) ^{2}}

Lösung

e^{4 t} t

Schritte zur Lösung

L^{- 1} {\frac{1}{( s - 4 ) ^{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 - 4 ) ^{2}} : a = 4, F (s) = \frac{1}{s ^{2}}

= e^{4 t} L^{- 1} {\frac{1}{s ^{2}}}

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

= e^{4 t} t

Beliebte Beispiele

integral of 4/(25-x)

\int \frac{4}{25 - x} d x

derivative f(x)=294x^5-120x^4+420x^2

d er i v a t i v e f (x) = 294 x^{5} - 120 x^{4} + 420 x^{2}

tangent f(x)=3x^2+4x,\at x=-3

t an g e n t f (x) = 3 x^{2} + 4 x, at x = - 3

integral of 7/(2y^4)

\int \frac{7}{2 y ^{4}} d y

y^'=(x^4y^4+4x^4)/(y^3)

y^{^{'}} = \frac{x ^{4} y ^{4} + 4 x ^{4}}{y ^{3}}