Recent content by GaussGreyjoy

I recommend you to visit Khan Academy. It isn't quite rigourous (it's focused in teaching how do to things more than in why you can do them) but it should be enough for what you're looking for right now.

If you think of a function f which goes from \Re to \Re that definition means that a function has a limit in one point (x) if if you get close enough to that point (d(t,x)<δ) then the image of that point by that function will be as close as you want to the limit (d(f(a),L)<ε).

[-4/3,1] is not an eigenvector of 6. The correct eigenvector is [4/3,1] because the equation you get is 3x-4y=0.

You have to make a change of variable, you can call y'=z and by doing the substitution you obtain a first order system of ODE. Sorry for my English and I'll do it later from my computer if I haven't explained myself properly.