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Beliebt Rechnen >

laplacetransform-5e^{4t}

Lösung

laplace transformation

- 5 e^{4 t}

Lösung

- \frac{5}{s - 4}

Schritte zur Lösung

L {- 5 e^{4 t}}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= - 5 L {e^{4 t}}

L {e^{4 t}} : \frac{1}{s - 4}

= - 5 \cdot \frac{1}{s - 4}

Fasse

- 5 \frac{1}{s - 4}

zusammen:

- \frac{5}{s - 4}

= - \frac{5}{s - 4}

Beliebte Beispiele

(\partial)/(\partial x)(xsin(2x^2y))

\frac{\partial}{\partial x} (x sin (2 x^{2} y))

integral of 1/(tsqrt(4t^2-1))

\int \frac{1}{t 4 t ^{2} - 1} d t

y^{''}-y=x^2e^x

y^{^{''}} - y = x^{2} e^{x}

integral of 2(x-1)

\int 2 (x - 1) d x

y^{''}+2y^'+36y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 2 y^{^{'}} + 36 y = 0, y (0) = 1, y^{^{'}} (0) = 0