I did take Linear Algebra last year. I am not going to be a math major and the Dif Eq is the last math class I need. Our teacher is going to cover the Wronskian next week after midterms. We haven't covered solving 2nd order equations with Lagrange or Fourier transforms. I have been watching youtube videos from MIT and KhanAcademy and they use these methods. The method our teacher has been using solving two first order equations is much simpler. Why isn't it a more common method?
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