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Beliebt Rechnen >

laplacetransform e^t*cos(t)

Lösung

laplace transformation

e^{t} \cdot cos (t)

Lösung

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

Schritte zur Lösung

L {e^{t} cos (t)}

Wende Transformationsregel an: wenn

L {f (t)} = F (s)

dann

L {e^{a t} f (t)} = F (s - a)

Für

e^{t} cos (t) : f (t) = cos (t), a = 1

= L {cos (t)} (s - 1)

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

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

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

Beliebte Beispiele

(5y-2x)((dy)/(dx))-2y=0

(5 y - 2 x) (\frac{d y}{d x}) - 2 y = 0

slopeintercept (5)(0.5)

s l o p e in t erce pt (5) (0.5)

fläche y=x^2-7,y=2

a re a y = x^{2} - 7, y = 2

limit as x approaches 2 of-x^3+2x^2-1

x \to 2 lim (- x^{3} + 2 x^{2} - 1)

integral of (x^2)/((144+x^2)^2)

\int \frac{x ^{2}}{( 144 + x ^{2} ) ^{2}} d x