$[-/2$ Points$]$

Use the Laplace transform to solve the given system of differential equations.

$\frac{dx}{dt}x-\frac{dy}{dt}y=0$

$\frac{dx}{dt}\frac{dy}{dt}2y=0$

$x(0)=0,y(0)=7$

$x(t)=$

$y(t)=$

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