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Solution to a 2nd order, linear homogeneous ODE with repeated roots

Free ebook http://tinyurl.com/EngMathYTI discuss and solve a 2nd order ordinary differential equation that is linear, homogeneous and has constant coefficients. In particular, I solve$$y'' - 4y' + 4y = 0.$$The solution method involves reducing the analysis to the roots of of a quadratic (the characteristic equation). Such an example is seen in 1st and 2nd year university mathematics.
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