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Differential EquationsMediumSecond-Order Linear Equations

Second-Order Linear Equations · Medium problem

The functions y1=e−tcos⁡3ty_1 = e^{-t}\cos 3t and y2=e−tsin⁡3ty_2 = e^{-t}\sin 3t solve y′′+2y′+10y=0y'' + 2y' + 10y = 0. Find their Wronskian W=y1y2′−y2y1′W = y_1y_2' - y_2y_1' at t=1t = 1.