[GeeTwo]

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

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