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Beliebt Rechnen >

laplacetransform 2cos(t-pi/6)

Lösung

laplace transformation

2 cos (t - \frac{π}{6})

Lösung

\frac{3 s + 1}{s ^{2} + 1}

Schritte zur Lösung

L {2 cos (t - \frac{π}{6})}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

a : L {a \cdot f (t)} = a \cdot L {f (t)}

= 2 L {cos (t - \frac{π}{6})}

L {cos (t - \frac{π}{6})} : \frac{3 s + 1}{2 ( s ^{2} + 1 )}

= 2 \cdot \frac{3 s + 1}{2 ( s ^{2} + 1 )}

Fasse

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

zusammen:

\frac{3 s + 1}{s ^{2} + 1}

= \frac{3 s + 1}{s ^{2} + 1}

Beliebte Beispiele

integral from 0 to infinity of e^{-y}

\int_{0}^{\infty} e^{- y} d y

integral of 7x+8y^2

\int 7 x + 8 y^{2} d x

integral of 1/((x-5)^2(x+3))

\int \frac{1}{( x - 5 ) ^{2} ( x + 3 )} d x

x(dy)/(dx)+y=4x+1

x \frac{d y}{d x} + y = 4 x + 1

tangent f(x)= 3/x ,\at x=3

t an g e n t f (x) = \frac{3}{x}, at x = 3