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A comment on What is it like to be a mathematician?. Parent comment

Re:What is it like to be a mathematician? by ced on Sunday October 13, 2013 @07:33PM (#6544558)
every ODE that has one and only one solution has an exact solution

Upvoted, but - is that a particular theorem, or are you just basically stating the definition of "having a solution"? Wouldn't your statement be true of any system of differential equations, not just ODEs?

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Re:What is it like to be a mathematician? by Perseids on Monday October 14, 2013 @04:01AM (#6545977)
I just stated the definition of having one and only one solution, yes :). That was kind of the point I was making.

I originally intended to write a statement specific to ODE, but was then to lazy to look the specifics up ^^.

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