MCQOPTIONS
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MCQOPTIONS
| 1. |
The solution to the differential equation \(\frac{{{d^2}u}}{{d{x^2}}} - k\frac{{du}}{{dx}} = 0\) where k is a constant, subjected to the boundary conditions u(0) = 0 and u(L) = U, is |
| A. | \(u = U\frac{X}{L}\) |
| B. | \(u = U\left( {\frac{{1 - {e^{kx}}}}{{1 - {e^{kL}}}}} \right)\) |
| C. | \(u = U\left( {\frac{{1 - {e^{ - kx}}}}{{1 - {e^{ - kL}}}}} \right)\) |
| D. | \(u = U\left( {\frac{{1 + {e^{ - kx}}}}{{1 + {e^{ - kL}}}}} \right)\) |
| Answer» C. \(u = U\left( {\frac{{1 - {e^{ - kx}}}}{{1 - {e^{ - kL}}}}} \right)\) | |