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Beliebt Rechnen >

laplacetransform e^tsin(3t)

Lösung

laplace transformation

e^{t} sin (3 t)

Lösung

\frac{3}{( s - 1 ) ^{2} + 9}

Schritte zur Lösung

L {e^{t} sin (3 t)}

Wende Transformationsregel an: wenn

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

dann

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

Für

e^{t} sin (3 t) : f (t) = sin (3 t), a = 1

= L {sin (3 t)} (s - 1)

L {sin (3 t)} : \frac{3}{s ^{2} + 9}

= \frac{3}{( s - 1 ) ^{2} + 9}

Beliebte Beispiele

derivative 3x^2+xy+3y^2

d er i v a t i v e 3 x^{2} + x y + 3 y^{2}

derivative of (x^2}{100}+8+\frac{20/x)

\frac{d}{d x} (\frac{x ^{2}}{100} + 8 + \frac{20}{x})

derivative of cos(x-6tan(x))

\frac{d}{d x} (cos (x) - 6 tan (x))

derivative of (3x^2+9/(6x))

\frac{d}{d x} (\frac{3 x ^{2} + 9}{6 x})

f(x)=(sqrt(x)+1)/(x^2+1)

f (x) = \frac{x + 1}{x ^{2} + 1}