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Beliebt Rechnen >

laplacetransform cos(t+pi/4)

Lösung

laplace transformation

cos (t + \frac{π}{4})

Lösung

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

Schritte zur Lösung

L {cos (t + \frac{π}{4})}

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

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

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

Beliebte Beispiele

x^2(dy)/(dx)-2xy=4y^4,y(1)= 1/3

x^{2} \frac{d y}{d x} - 2 x y = 4 y^{4}, y (1) = \frac{1}{3}

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

derivative f(x)=sin^2(x)+cos^2(x)

d er i v a t i v e f (x) = sin^{2} (x) + cos^{2} (x)

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integral of 22x

\int 22 x d x