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Find the solution of the Cauchy problem for the differential equationy" + 2y' + y =...

Find the solution of the Cauchy problem for the differential equationy" + 2y' + y = e–x cos x

subject to the initial conditions: y(0) = 0, y'(0) = 1.
Verify the solution obtained by direct substitution into the equation and confirm that it satisfies the initial condition.

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