[Solution Library] Find the solution of the system (dX)/(dt)-6X+3Y=8e^t , (dY)/(dt)-2X-Y=4e^t , subject to the initial conditions X(0)=-1, Y(0)=0, using
Question: Find the solution of the system
\[\begin{aligned} & \frac{dX}{dt}-6X+3Y=8{{e}^{t}} \\ & \frac{dY}{dt}-2X-Y=4{{e}^{t}} \\ \end{aligned}\]
subject to the initial conditions \(X(0)=-1, Y(0)=0\), using the method of Laplace transforms.
Deliverable: Word Document 
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