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Beliebt Rechnen >

laplacetransform e^{2t}cos(2t)

Lösung

laplace transformation

e^{2 t} cos (2 t)

Lösung

\frac{s - 2}{( s - 2 ) ^{2} + 4}

Schritte zur Lösung

L {e^{2 t} cos (2 t)}

Wende Transformationsregel an: wenn

L {f (t)} = F (s)

dann

L {e^{a t} f (t)} = F (s - a)

Für

e^{2 t} cos (2 t) : f (t) = cos (2 t), a = 2

= L {cos (2 t)} (s - 2)

L {cos (2 t)} : \frac{s}{s ^{2} + 4}

= \frac{( s - 2 )}{( s - 2 ) ^{2} + 4}

= \frac{s - 2}{( s - 2 ) ^{2} + 4}

Beliebte Beispiele

derivative of 1-10x

\frac{d}{d x} (1 - 10 x)

y^{''}-5y^'=(5t+9)sin(2t)

y^{^{''}} - 5 y^{^{'}} = (5 t + 9) sin (2 t)

derivative 4sqrt(x-2)

d er i v a t i v e 4 x - 2

derivative g(t)= 7/(8t^4)

d er i v a t i v e g (t) = \frac{7}{8 t ^{4}}

integral of sin^4(x)cos^4(x)

\int sin^{4} (x) cos^{4} (x) d x