laplacetransform 4t^3sin(t)

Lösung

laplace transformation

4 t^{3} sin (t)

- \frac{96 s ( - s ^{2} + 1 )}{( s ^{2} + 1 ) ^{4}}

Schritte zur Lösung

L {4 t^{3} sin (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)}

= 4 L {t^{3} sin (t)}

L {t^{3} sin (t)} : - \frac{24 s ( - s ^{2} + 1 )}{( s ^{2} + 1 ) ^{4}}

= 4 (- \frac{24 s ( - s ^{2} + 1 )}{( s ^{2} + 1 ) ^{4}})

Fasse

4 (- \frac{24 s ( - s ^{2} + 1 )}{( s ^{2} + 1 ) ^{4}})

zusammen:

- \frac{96 s ( - s ^{2} + 1 )}{( s ^{2} + 1 ) ^{4}}

= - \frac{96 s ( - s ^{2} + 1 )}{( s ^{2} + 1 ) ^{4}}

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

\frac{\partial}{\partial x} (\frac{1}{2} x y^{2})

x \to 0 lim (\frac{1 0 ^{x} - e ^{x}}{x})

x \to - \infty lim (\frac{x}{3})

l c m f (x) =, x