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Beliebt Rechnen >

laplacetransform-3sin(5t)

Lösung

laplace transformation

- 3 sin (5 t)

Lösung

- \frac{15}{s ^{2} + 25}

Schritte zur Lösung

L {- 3 sin (5 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)}

= - 3 L {sin (5 t)}

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

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

Fasse

- 3 \frac{5}{s ^{2} + 25}

zusammen:

- \frac{15}{s ^{2} + 25}

= - \frac{15}{s ^{2} + 25}

Beliebte Beispiele

(dx)/(dy)=-1/7 sqrt(x)

\frac{d x}{d y} = - \frac{1}{7} x

integral of (2x+1)/((x-2)(x-3)^2)

\int \frac{2 x + 1}{( x - 2 ) ( x - 3 ) ^{2}} d x

derivative of x^5-3x^3+x-1

\frac{d}{d x} (x^{5} - 3 x^{3} + x - 1)

integral of 1/(x(x^4+1))

\int \frac{1}{x ( x ^{4} + 1 )} d x

steigung y=(3x^3+2x)^{1/2}

s l o p e y = (3 x^{3} + 2 x)^{\frac{1}{2}}