Differential Equation Solution: d²u/dx² - k(du/dx) = 0 with u(0)=0, u(L)=U | GATE ME 2013

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Mechanical Engineering > GATE 2013 SET-1 > Differential Equations

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

A

u = U(x/L)

B

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

C

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

D

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

Explanation

Correct : c

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