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How to solve DE with irreducible quadratic

  1. Sep 29, 2008 #1


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    I'm fine solving DE with a reducible quadratic, but what happens when the quadratic is irreducible, how would I go about solving the DE? So for example,
    Thanks in advance.
  2. jcsd
  3. Sep 29, 2008 #2


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    Homework Helper

    Try writing your DE as

    \frac{1}{-P^{2}+10P-26} \frac{dP}{dt}=1[/tex]

    then complete the square for [itex]-P^{2}+10P-26[/itex], and try a trig substitution.
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