laplacetransform 15t^2

Lösung

laplace transformation

15 t^{2}

\frac{30}{s ^{3}}

Schritte zur Lösung

L {15 t^{2}}

Verwende die konstante Multiplikationseigenschaft der Laplace-Transformation:

For function

f (t)

and constant

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

= 15 L {t^{2}}

L {t^{2}} : \frac{2}{s ^{3}}

= 15 \cdot \frac{2}{s ^{3}}

Fasse

15 \frac{2}{s ^{3}}

zusammen:

\frac{30}{s ^{3}}

= \frac{30}{s ^{3}}

d er i v a t i v e - 4 csc^{2} (x) + 4 sec^{2} (x)

d er i v a t i v e y = (x^{2} + x + 1)^{100}

\frac{\partial}{\partial x} (15 x y e^{- x^{2} - y^{2}})

\int \frac{x}{( 16 + x ^{2} ) ^{\frac{3}{2}}} d x

p a r i t y y = ln (\frac{1 + sin ( x )}{1 - sin ( x )})