MCQOPTIONS
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| 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. | |