laplacetransform 2cos(2t)

Lösung

laplace transformation

2 cos (2 t)

\frac{2 s}{s ^{2} + 4}

Schritte zur Lösung

L {2 cos (2 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 {cos (2 t)}

L {cos (2 t)} : \frac{s}{s ^{2} + 4}

= 2 \cdot \frac{s}{s ^{2} + 4}

Fasse

2 \frac{s}{s ^{2} + 4}

zusammen:

\frac{2 s}{s ^{2} + 4}

= \frac{2 s}{s ^{2} + 4}

d er i v a t i v e e^{y - 1}

x \to 2 - lim (\frac{∣ x - 2 ∣}{x})

\frac{d y}{d x} = x + \frac{3 y}{x}

\frac{\partial}{\partial x} (\frac{1}{y} - \frac{1}{x ^{2}})

\frac{\partial}{\partial y} (5 x^{2} y^{2})