In 47 and 48, use the Laplace transform and these inverses to solve the given
Chapter 4, Problem 47(choose chapter or problem)
The inverse forms of the results in Problem 49 in Exercises 4.1 are
\(\mathscr{L}^{-1}\left\{\frac{s-a}{(s-a)^{2}+b^{2}}\right\}=e^{a t} \cos b t\)
and \(\mathscr{L}^{-1}\left\{\frac{b}{(s-a)^{2}+b^{2}}\right\}=e^{a t} \sin b t\).
In Problems 47 and 48, use the Laplace transform and these inverses to solve the given initial-value problem.
\(y^{\prime}+y=e^{-3 t} \cos 2 t\), y(0)=0
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