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Use Laplace transforms to solve the following initial value problem x'+2y'+x=0, x'-y'+y=0, x(0)=0, y(0)=289 the particular...

Use Laplace transforms to solve the following initial value problem

x'+2y'+x=0, x'-y'+y=0, x(0)=0, y(0)=289

the particular solution is x(t)=? and y(t)= ?

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