The solution ex, e-x, and e2x of \(\frac{{{d^3}y}}{{d{x^3}}} - 2\frac{{{d^2}y}}{{d{x^2}}} - \frac{{dy}}{{dx}} + 2y = 0\) will be:
1
linearly dependent for xϵ[-2, 2] and linearly independent elsewhere.
2
linearly independent for xϵ[-1, 1] and linearly independent elsewhere.
3
linearly independent on every real interval.
4
linearly dependent for all real x.