laplacetransform sin(3t+pi/4)

Lösung

laplace transformation

sin (3 t + \frac{π}{4})

\frac{s + 3}{2 ( s ^{2} + 9 )}

Schritte zur Lösung

L {sin (3 t + \frac{π}{4})}

Wende Laplace-Transformationstabelle an:

L {sin (a t + b)} = \frac{s \cdot sin ( b ) + a \cdot cos ( b )}{s ^{2} + a ^{2}}

L {sin (3 t + \frac{π}{4})} = \frac{s sin ( \frac{π}{4} ) + 3 cos ( \frac{π}{4} )}{s ^{2} + 3 ^{2}}

= \frac{s sin ( \frac{π}{4} ) + 3 cos ( \frac{π}{4} )}{s ^{2} + 3 ^{2}}

= \frac{s + 3}{2 ( s ^{2} + 9 )}

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

\int cos (2 x + 5) d x

\frac{\partial}{\partial x} (cos (4 x y))

d er i v a t i v e y = 6 x^{2} - 10 x - 5 x^{- 2}

\frac{\partial}{\partial x} (2 k l ln (\frac{x - n}{n - x}))