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Beliebt Rechnen >

laplacetransform e^tsin(t)

Lösung

laplace transformation

e^{t} sin (t)

Lösung

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

Schritte zur Lösung

L {e^{t} sin (t)}

Wende Transformationsregel an: wenn

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

dann

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

Für

e^{t} sin (t) : f (t) = sin (t), a = 1

= L {sin (t)} (s - 1)

L {sin (t)} : \frac{1}{s ^{2} + 1}

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

Beliebte Beispiele

(\partial)/(\partial x)(4x^{-1/8})

\frac{\partial}{\partial x} (4 x^{- \frac{1}{8}})

integral of 3x^2e^{-3x}

\int 3 x^{2} e^{- 3 x} d x

derivative of 6x^2(4x^5-3x+2)

\frac{d}{d x} (6 x^{2} (4 x^{5} - 3 x + 2))

limit as x approaches 0+of x^3(ln(x))^2

x \to 0 + lim (x^{3} (ln (x))^{2})

derivative y=x(1+x^2)^{10}

d er i v a t i v e y = x (1 + x^{2})^{10}