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We can apply Laplace transform to a system of ODEs in t with given initial values to form a system of algebraic equations in the

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We can apply Laplace transform to a system of ODEs in t with given initial values to form a system of algebraic equations in the Laplace transform of the dependent variables, then we solve the system of equations to get the Laplace transform of the dependent variables. To obtain the solution of the IVP, we apply the inverse Laplace transform. The functions x (t), y(t) satisfy the system of equations dt d I (t) = 5 x(t) + 2y(t) at y (t) = 4 x(t) - y(t) and the initial conditions z (0) = 4 and y(0) = 3. Suppose that the Laplace transforms of x(t), y(t) are respectively X(s), Y(s). By forming algebraic equations in X(s), Y(s) ., find and the enter the function X(s), Y(s) below in maple syntax. X(s) = Y(s) =

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