In 41 and 42, verify that the indicated pair of functions is a solution of the given
Chapter 1, Problem 41(choose chapter or problem)
In Problems 41 and 42, verify that the indicated pair of functions is a solution of the given system of differential equations on the interval \((-\infty, \infty)\).
\(\frac{d x}{d t}=x+3 y\)
\(\frac{d y}{d t}=5 x+3 y\);
\(x=e^{-2 t}+3 e^{6 t}\),
\(y=-e^{-2 t}+5 e^{6 t}\)
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