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In: Advanced Math

Use the Laplace transform to solve the given system of differential equations. d2x/dt2 + x −...

Use the Laplace transform to solve the given system of differential equations.

d2x/dt2 + x − y = 0

d2y/dt2 + y − x = 0

x(0) = 0, x'(0) = −4

y(0) = 0, y'(0) = 1

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