I am almost completely lost with this problem.
I say almost completely because i have a vague understanding of the principle but my professor rushed through this lecture and our text book doesnt cover this.
Here is the problem:
Prove that every solution of the equation:
y'' + a1y' + a2y = 0 (a1 = const; a + 2 = const)
is bounded on [0, infinty) if and only if the real parts of the characteristic roots are non-positive and the roots with zero real part have multiplicity 1.
Any guidance on this would be appreciated.