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Beliebt Rechnen >

laplacetransform cos(2(t-pi/2))

Lösung

laplace transformation

cos (2 (t - \frac{π}{2}))

Lösung

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

Schritte zur Lösung

L {cos (2 (t - \frac{π}{2}))}

Wende Laplace-Transformationstabelle an:

L {cos (a t + b)} = \frac{s \cdot cos ( b ) - a \cdot sin ( b )}{s ^{2} + a ^{2}}

L {cos (2 (t - \frac{π}{2}))} = \frac{s cos ( - π ) - 2 sin ( - π )}{s ^{2} + 2 ^{2}}

= \frac{s cos ( - π ) - 2 sin ( - π )}{s ^{2} + 2 ^{2}}

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

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\int - 6 sin (x) d x

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\frac{d y}{d x} - \frac{4}{x} y = y^{5} \frac{1}{x ^{8}}

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