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Beliebt Rechnen >

laplacetransform 2tcos(t)

Lösung

laplace transformation

2 t cos (t)

Lösung

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

Schritte zur Lösung

L {2 t cos (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 cos (t)}

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

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

Fasse

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

zusammen:

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

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

Beliebte Beispiele

-ydx+(x+xy)dy=0

- y d x + (x + x y) d y = 0

limit as x approaches-8+of (x+9)/(x+8)

x \to - 8 + lim (\frac{x + 9}{x + 8})

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

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

integral of 1/(t^5)

\int \frac{1}{t ^{5}} d t

tangent f(x)=x^4+6x^2-x,(1,6)

t an g e n t f (x) = x^{4} + 6 x^{2} - x, (1, 6)