(a) Derive the form , y(x) = Ae"+ Age *+ A, cosx+ A sinx for the general solution to the equation y(4) = y, from the obs
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(a) Derive the form , y(x) = Ae"+ Age *+ A, cosx+ A sinx for the general solution to the equation y(4) = y, from the obs
(a) Derive the form , y(x) = Ae"+ Age *+ A, cosx+ A sinx for the general solution to the equation y(4) = y, from the observation that the fourth roots of unity are 1, -1, i, and -i. (b) Derive the form y(x) = Aje' + Aze=x/2 cos( V3x/2) ( + Aze-x/2 sin ( V3x/2) for the general solution to the equation y(3) = y, from the observation that the cube roots of unity are 1, ei217/3, and e-727/3. >
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