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Beliebt Rechnen >

laplacetransform 3sin(5t+45)

Lösung

laplace transformation

3 sin (5 t + 4 5^{\circ})

Lösung

\frac{3 ( s + 5 )}{2 ( s ^{2} + 25 )}

Schritte zur Lösung

L {3 sin (5 t + 4 5^{\circ})}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= 3 L {sin (5 t + 4 5^{\circ})}

L {sin (5 t + 4 5^{\circ})} : \frac{s + 5}{2 ( s ^{2} + 25 )}

= 3 \cdot \frac{s + 5}{2 ( s ^{2} + 25 )}

Fasse

3 \frac{s + 5}{2 ( s ^{2} + 25 )}

zusammen:

\frac{3 ( s + 5 )}{2 ( s ^{2} + 25 )}

= \frac{3 ( s + 5 )}{2 ( s ^{2} + 25 )}

Beliebte Beispiele

x^2-2y^2+2xyy^'=0

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

derivative of 1/(sqrt(4-x))

\frac{d}{d x} (\frac{1}{4 - x})

integral of 1/(3x-7)

\int \frac{1}{3 x - 7} d x

laplacetransform e^{(3t)}

l a pl a ce t r an s f or m e^{(3 t)}

(dy)/(dx)=(2x+sec^2(x))/(2y),y(0)=-3

\frac{d y}{d x} = \frac{2 x + sec ^{2} ( x )}{2 y}, y (0) = - 3