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Periodic Solution to Differential Equation

  1. Sep 10, 2014 #1
    For each epsilon greater than 0, show that the differential equation x'=x^2-1-cos(t)-epsilon has at least one periodic solution with 0 less than x(t) less than or equal to (2+epsilon)^1/2
  2. jcsd
  3. Sep 11, 2014 #2


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    Science Advisor
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    It's obvious. There I've proved it!

    Seriously review the homework submission guidelines for this forum. As with my answer, your question needs to show a bit more to be helpful.
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