laplacetransform-3(sin(4(t-(5pi)/4)))

Lösung

laplace transformation

- 3 (sin (4 (t - \frac{5 π}{4})))

\frac{12}{s ^{2} + 16}

Schritte zur Lösung

L {- 3 (sin (4 (t - \frac{5 π}{4})))}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= - 3 L {sin (4 (t - \frac{5 π}{4}))}

L {sin (4 (t - \frac{5 π}{4}))} : - \frac{4}{s ^{2} + 16}

= - 3 (- \frac{4}{s ^{2} + 16})

Fasse

- 3 (- \frac{4}{s ^{2} + 16})

zusammen:

\frac{12}{s ^{2} + 16}

= \frac{12}{s ^{2} + 16}

\frac{\partial}{\partial x} (\frac{1}{7 + 5 x})

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\int 7 x + 8 x d x