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Beliebt Rechnen >

laplacetransform cos(t+pi/5)

Lösung

laplace transformation

cos (t + \frac{π}{5})

Lösung

\frac{2 ( 5 + 1 ) s - 2 5 - 5}{4 2 ( s ^{2} + 1 )}

Schritte zur Lösung

L {cos (t + \frac{π}{5})}

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 + \frac{π}{5})} = \frac{s cos ( \frac{π}{5} ) - 1 \cdot sin ( \frac{π}{5} )}{s ^{2} + 1 ^{2}}

= \frac{s cos ( \frac{π}{5} ) - 1 \cdot sin ( \frac{π}{5} )}{s ^{2} + 1 ^{2}}

= \frac{2 ( 5 + 1 ) s - 2 5 - 5}{4 2 ( s ^{2} + 1 )}

Beliebte Beispiele

integral of cos(4t)-sin(4t)

\int cos (4 t) - sin (4 t) d t

integral of (x^2)/(2(x+1))

\int \frac{x ^{2}}{2 ( x + 1 )} d x

derivative of e^{9x^2}

\frac{d}{d x} (e^{9 x^{2}})

x^{^{''}} + 2 x = 0

derivative y=x^3-3x+1

d er i v a t i v e y = x^{3} - 3 x + 1