5. (10%) Solve the following initial value problem by using the Laplace transform. $$y_1'(x) + y_2(x) = x, \quad y_1(x) + y_2'(x) = 0,$$ $$y_1(0) = 1, \quad y_2(0) = 0$$
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5. (10%) Solve the following initial value problem by using the Laplace transform. $$y_1'(x) + y_2(x) = x, \quad y_1(x) + y_2'(x) = 0,$$ $$y_1(0) = 1, \quad y_2(0) = 0$$