0001.tex

\begin{exerciseStatement}


 Explain how to find the general solution to the given ODE, and the particular solution to the given IVP. 

\[ 4 \, {y'} + 12 \, {y} = 0 ,\hspace{1em}
      y\big( \log\left(2\right) \big)= -\frac{3}{8} \]

Then show how to verify that your particular solution is correct.


\end{exerciseStatement}
    
\begin{exerciseAnswer} 
\[ {y} = k e^{\left(-3 \, t\right)} \]\[ {y} = -3 \, e^{\left(-3 \, t\right)} \]
\end{exerciseAnswer}