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Beliebt Rechnen >

laplacetransform e^tcos(6t)

Lösung

laplace transformation

e^{t} cos (6 t)

Lösung

\frac{s - 1}{( s - 1 ) ^{2} + 36}

Schritte zur Lösung

L {e^{t} cos (6 t)}

Wende Transformationsregel an: wenn

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

dann

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

Für

e^{t} cos (6 t) : f (t) = cos (6 t), a = 1

= L {cos (6 t)} (s - 1)

L {cos (6 t)} : \frac{s}{s ^{2} + 36}

= \frac{( s - 1 )}{( s - 1 ) ^{2} + 36}

= \frac{s - 1}{( s - 1 ) ^{2} + 36}

Beliebte Beispiele

t an g e n t 5 - x^{2}

derivative f(x)=ln(sqrt(x^2+3))

d er i v a t i v e f (x) = ln (x^{2} + 3)

derivative y=(x+1)(sqrt(x)+2)

d er i v a t i v e y = (x + 1) (x + 2)

x^2y^'=y^2+5xy+4x^2

x^{2} y^{^{'}} = y^{2} + 5 x y + 4 x^{2}

derivative x=tsin(t)

d er i v a t i v e x = t sin (t)