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Easy Seperable Differential Equation Domain Questions

  1. Dec 20, 2011 #1
    This is a problem from the Boyce and Diprima Elementary DE book. I solved this equation
    and got the correct solution. However, the author notes that the solution is defined on the
    interval (-2,3) only. I have found it to be defined (-inf,-2)u(-2,3)u(3,inf), or EVERYWHERE BUT x=-2, x=3. Is this a mistake in the book or am I missing something?

    Thanks Alot,


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  2. jcsd
  3. Dec 20, 2011 #2


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    Science Advisor

    Yes, the book is correct. There exist solutions for x< -2 and x> 3 but they cannot be "connected" to the solution between -2 and 3. The solution satisfying the given boundary condition is valid only between -2 and 3.
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