## Question

###### Use the method of Laplace transforms to solve the given initial value problem: Here, x' and y' denote differentiation with respect to tx' - 3x + 4y sin t 2x-y' -y cosx(0) = 0 Y(o) = 0Click the icon to view information on Laplace transformsx(t) y(t) = (Type exact answers in terms of e.)

Use the method of Laplace transforms to solve the given initial value problem: Here, x' and y' denote differentiation with respect to t x' - 3x + 4y sin t 2x-y' -y cos x(0) = 0 Y(o) = 0 Click the icon to view information on Laplace transforms x(t) y(t) = (Type exact answers in terms of e.)

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