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Beliebt Rechnen >

laplacetransform sin(t+pi/4)

Lösung

laplace transformation

sin (t + \frac{π}{4})

Lösung

\frac{s + 1}{2 ( s ^{2} + 1 )}

Schritte zur Lösung

L {sin (t + \frac{π}{4})}

Wende Laplace-Transformationstabelle an:

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

L {sin (t + \frac{π}{4})} = \frac{s sin ( \frac{π}{4} ) + 1 \cdot cos ( \frac{π}{4} )}{s ^{2} + 1 ^{2}}

= \frac{s sin ( \frac{π}{4} ) + 1 \cdot cos ( \frac{π}{4} )}{s ^{2} + 1 ^{2}}

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

Beliebte Beispiele

integral from 0 to 1 of (1-x^2)^2

\int_{0}^{1} (1 - x^{2})^{2} d x

(2 - x)^{^{'}}

derivative of-7cos(x)

\frac{d}{d x} (- 7 cos (x))

fläche y=6x,y=3x^2

a re a y = 6 x, y = 3 x^{2}

integral from 0 to 1 of 9x

\int_{0}^{1} 9 x d x