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Differential EquationsMediumThe Wronskian & Variation of Parameters

The Wronskian & Variation of Parameters · Medium problem

The equation y′′−6y′+9y=0y''-6y'+9y=0 has solutions y1=e3ty_1=e^{3t} and y2=te3ty_2=te^{3t} (the second found by reduction of order). Find the value of tt at which y2(t)=y1(t)y_2(t)=y_1(t).