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Differential Equations - Reduction of order

  1. Mar 6, 2012 #1
    General Question. How would I recognize when to do a full reduction of order versus using the formula y2=y1 integral(e^integral(P(x)dx)/y1^2)

    So far I only know by when the homework problem set, specifies to use the formula or the reduction of order. However I want to know if I can tell somehow that the formula would not work for a specific problem.

    I've been doing some practice problems and there are some that definitely cannot use the formula as I work through it so then I switch to reduction fo order. But there are some problems where I've done both ways out of curiosity and in both ways it resolves all the way, but I get two different solutions for y2.

    Thank you!
     
  2. jcsd
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