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Given the differential equation y''−2y'+y=0,  y(0)=1,  y'(0)=2 Apply the Laplace Transform and solve for Y(s)=L{y} Y(s) =     Now...

Given the differential equation

y''−2y'+y=0,  y(0)=1,  y'(0)=2

Apply the Laplace Transform and solve for Y(s)=L{y}

Y(s) =    

Now solve the IVP by using the inverse Laplace Transform y(t)=L^−1{Y(s)}

y(t) =

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