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Beliebt Rechnen >

laplacetransform cos(3t-1)

Lösung

laplace transformation

cos (3 t - 1)

Lösung

\frac{cos ( 1 ) s + 3 sin ( 1 )}{s ^{2} + 9}

Schritte zur Lösung

L {cos (3 t - 1)}

Wende Laplace-Transformationstabelle an:

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

L {cos (3 t - 1)} = \frac{s cos ( - 1 ) - 3 sin ( - 1 )}{s ^{2} + 3 ^{2}}

= \frac{s cos ( - 1 ) - 3 sin ( - 1 )}{s ^{2} + 3 ^{2}}

= \frac{cos ( 1 ) s + 3 sin ( 1 )}{s ^{2} + 9}

Beliebte Beispiele

y^{''}+7y^'+10y=-11te^{2t}

y^{^{''}} + 7 y^{^{'}} + 10 y = - 11 t e^{2 t}

integral of (4x+1)^3

\int (4 x + 1)^{3} d x

derivative-sec(1/x+7x)

d er i v a t i v e - sec (\frac{1}{x} + 7 x)

(\partial)/(\partial x)(7e^{xy})

\frac{\partial}{\partial x} (7 e^{x y})

derivative of \sqrt[3]{x}tan(5x)

\frac{d}{d x} (3 x tan (5 x))