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Beliebt Rechnen >

laplacetransform e^{2t}sin(t)

Lösung

laplace transformation

e^{2 t} sin (t)

Lösung

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

Schritte zur Lösung

L {e^{2 t} sin (t)}

Wende Transformationsregel an: wenn

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

dann

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

Für

e^{2 t} sin (t) : f (t) = sin (t), a = 2

= L {sin (t)} (s - 2)

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

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

Beliebte Beispiele

implicit (dy)/(dx),y= 3/x

im pl i c i t \frac{d y}{d x}, y = \frac{3}{x}

x-ycos(y/x)dx+xcos(y/x)dy=0

x - y cos (\frac{y}{x}) d x + x cos (\frac{y}{x}) d y = 0

derivative of (x^2-4/(x-3))

\frac{d}{d x} (\frac{x ^{2} - 4}{x - 3})

tangent 5/(x^2),\at x=1

t an g e n t \frac{5}{x ^{2}}, at x = 1

laplacetransform (t^4)/(24)

l a pl a ce t r an s f or m \frac{t ^{4}}{24}