0007.tex

\begin{exerciseStatement}


 Use Euler's method with \(h= 0.10 \) to approximate \(x( 1.2 )\) and \(y( 1.2 )\) given the following system of IVPs. 

\[
        x'= -2 \, t^{2} y + 4 \, t x - 3 \hspace{2em}
        x( 1 )= 2 \]\[
        y'= -2 \, t x^{2} + t y + 3 \hspace{2em}
        y( 1 )= 0 \]
\end{exerciseStatement}
    
\begin{exerciseAnswer} 

\begin{itemize}
\item \(x( 1.1 )\approx  2.50 \) and \(y( 1.1 )\approx  -0.500 \)
\item \(x( 1.2 )\approx  3.42 \) and \(y( 1.2 )\approx  -1.63 \)
\end{itemize}
    
\end{exerciseAnswer}