de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

inverselaplace (s*e^{-3s})/(s^2+25)

Lösung

inverse laplace transformation

\frac{s \cdot e ^{- 3 s}}{s ^{2} + 25}

Lösung

H (t - 3) cos (5 (t - 3))

Schritte zur Lösung

L^{- 1} {\frac{e ^{- 3 s} s}{s ^{2} + 25}}

Wende inverse Transformationsregel an: if

L^{- 1} {F (s)} = f (t)

dann

L^{- 1} {e^{- a s} F (s)} = H (t - a) f (t - a)

Wo

H (t)

Heaviside (Schritt) Funktion ist

= H (t - 3) L^{- 1} {\frac{s}{s ^{2} + 25}} (t - 3)

L^{- 1} {\frac{s}{s ^{2} + 25}} : cos (5 t)

= H (t - 3) cos (5 (t - 3))

Beliebte Beispiele

derivative (e^{8x})/x

d er i v a t i v e \frac{e ^{8 x}}{x}

(d^3)/(dx^3)(x^4)

\frac{d ^{3}}{d x ^{3}} (x^{4})

(\partial)/(\partial x)(x^4ey^z)

\frac{\partial}{\partial x} (x^{4} e y^{z})

derivative of ((4x^2-1/2 x)/((9x+8)))

\frac{d}{d x} (\frac{( 4 x ^{2} - \frac{1}{2} x )}{( 9 x + 8 )})

derivative of sqrt(1.8x+2.5)

\frac{d}{d x} (1.8 x + 2.5)