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Differential EquationsMediumSecond-Order Linear Equations

Second-Order Linear Equations · Medium problem

The equation y′′+6y′+cy=0y'' + 6y' + cy = 0 is underdamped and its solutions oscillate as e−3t(Acos⁡4t+Bsin⁡4t)e^{-3t}(A\cos 4t + B\sin 4t). Find cc.