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Beliebt Rechnen >

laplacetransform cos(t+pi)

Lösung

laplace transformation

cos (t + π)

Lösung

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

Schritte zur Lösung

L {cos (t + π)}

Wende Laplace-Transformationstabelle an:

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

L {cos (t + π)} = \frac{s cos ( π ) - 1 \cdot sin ( π )}{s ^{2} + 1 ^{2}}

= \frac{s cos ( π ) - 1 \cdot sin ( π )}{s ^{2} + 1 ^{2}}

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

Beliebte Beispiele

derivative 2x^3+3x^2-12x+9

d er i v a t i v e 2 x^{3} + 3 x^{2} - 12 x + 9

limit as x approaches 0+of (1-x)^{1/x}

x \to 0 + lim ((1 - x)^{\frac{1}{x}})

(dy)/(dx)=3x^2+1

\frac{d y}{d x} = 3 x^{2} + 1

integral of ((sin(5x))/(cos(5x)))

\int (\frac{sin ( 5 x )}{cos ( 5 x )}) d x

t a y l or ∣ x ∣