Using Laplace transforms, solve the simultaneous differential equations where x = 1 and y = 0 when

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Using Laplace transforms, solve the simultaneous differential equations

d.x dt dy dt + 5x + 3y = 5 sint - 2 cost + 3y + 5x = 6 sint - 3 cost

where x = 1 and y = 0 when t = 0.

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