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Beliebt Rechnen >

laplacetransform-2sin(3t)

Lösung

laplace transformation

- 2 sin (3 t)

Lösung

- \frac{6}{s ^{2} + 9}

Schritte zur Lösung

L {- 2 sin (3 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 {sin (3 t)}

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

= - 2 \cdot \frac{3}{s ^{2} + 9}

Fasse

- 2 \frac{3}{s ^{2} + 9}

zusammen:

- \frac{6}{s ^{2} + 9}

= - \frac{6}{s ^{2} + 9}

Beliebte Beispiele

limit as x approaches pi/2 of (cos(x))/(cot(x))

x \to \frac{π}{2} lim (\frac{cos ( x )}{cot ( x )})

(\partial)/(\partial x)(xysin(xy))

\frac{\partial}{\partial x} (x y sin (x y))

integral of (e^x)/(4+e^x)

\int \frac{e ^{x}}{4 + e ^{x}} d x

d/(dt)(sqrt(t^2+1))

\frac{d}{d t} (t^{2} + 1)

(dy)/(dt)=(t^2)/(y(1+t^3))

\frac{d y}{d t} = \frac{t ^{2}}{y ( 1 + t ^{3} )}