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Beliebt Rechnen >

laplacetransform 2t*sin(t)

Lösung

laplace transformation

2 t \cdot sin (t)

Lösung

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

Schritte zur Lösung

L {2 t sin (t)}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= 2 L {t sin (t)}

L {t sin (t)} : \frac{2 s}{( s ^{2} + 1 ) ^{2}}

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

Fasse

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

zusammen:

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

= \frac{4 s}{( s ^{2} + 1 ) ^{2}}

Beliebte Beispiele

ty^'-y=(-t^3)/(y^2)

t y^{^{'}} - y = \frac{- t ^{3}}{y ^{2}}

7x((dy)/(dx))=2xe^x-7y+6x^2

7 x (\frac{d y}{d x}) = 2 x e^{x} - 7 y + 6 x^{2}

limit as x approaches 2 of (4x-3)(x^2+5)

x \to 2 lim ((4 x - 3) (x^{2} + 5))

derivative arcsin(2/(x^2))

d er i v a t i v e arcsin (\frac{2}{x ^{2}})

integral from 4 to 9 of 2xsqrt(x)

\int_{4}^{9} 2 x x d x