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Got my old text book out, and out of curiosity, tried a 3rd order ODE on my Prime. NSpire only accepts 1st and 2nd order ODE's.
y'''-6*y''+11*y'-6*y=0 and y(0)=0 and y'(0)=0 and y''(0)=2 quickly came up with the correct answer: EXP(3*x)-2*EXP(2*x)+EXP(x). Cool!

I'll let you know if my Prime lotto program comes up with the "correct" answer tonight!