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\begin{center}
  \Large{12. Gyak.}  

  Laplace transzformált
  \end{center}

  \Large
  
\medskip
Definíció szerint számítsa ki!
\begin{enumerate}
  \item $\mathcal{L}(u(t))(s)=?$ ahol 
	 \[ u(t)= \begin{cases}
	  1 & \text{, ha } x\geq 0 \\
	  0 & \text{, különben}
	 \end{cases}\]
  \item $\mathcal{L}\left(\sin(\omega t)\right)(s)=?$
  \item $\mathcal{L}\left( e^{k t} \right)(s)=?$
  \item $\mathcal{L}\left( \cosh \omega t \right)(s)=?$
  \item $\mathcal{L}\left( t \right)(s)=?$
  \item $\mathcal{L}\left( t^2 \right)(s)=?$
  \item $\mathcal{L}\left( f(t) \right)(s)=?$ ahol 
    \begin{figure}[h!]
      \centering
      \subfigure[ ]{\includegraphics[height=0.2\textwidth]{kép1} \label{kep1}} \quad
      \subfigure[ ]{\includegraphics[height=0.2\textwidth]{kép2} \label{kep2}}
    \end{figure}
\end{enumerate}

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