numerical solution of differential equations

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numerical solution of differential equations

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#18

25-12-2016, 04:18

GeeTwo

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Re: numerical solution of differential equations

Quote:

Originally Posted by GeeTwo

No, as I read it you're setting x''=3x/2. This would be solved by a function of the form x=Ae^3x/2

Quote:

Originally Posted by Hitchhiker 42

Could you explain what this means? I'm not sure I understand...

Sorry, that should have been x''=Ae^√3t/√2

if x=Ae^√3t/√2,
then x'=√3Ae^√3t/√2/√2 (chain rule)
and x''=3Ae^√3t/√2/2 (chain rule again) = 3x/2.

Edit: I knew there was more to it, and just figured out the other part:

x''=3x/2 ==> x= Ae^√3t/√2 + Be^-√3t/√2

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Last edited by GeeTwo : 25-12-2016 at 04:47.

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