GATE Production - GATE 2017-2018 Questions and Answers

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The solution to the differential equation d²u/dx² - k du/dx = 0 where k is a constant, subjected to the boundary conditions u(0) = 0 and u(L) = U, is

u = U x/L

u = U[(1 - e^kx)/(1 - e^kL)]

u = U[(1 - e^-kx)/(1 - e^-kL)]

u = U[(1 + e^kx)/(1 + e^kL)]

Answer : Option B

Explanation :

-NA-

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