1.

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:

A. linearly dependent for xϵ[-2, 2] and linearly independent elsewhere.
B. linearly independent for xϵ[-1, 1] and linearly independent elsewhere.
C. linearly independent on every real interval.
D. linearly dependent for all real x.
Answer» D. linearly dependent for all real x.


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