Mechanical Engineering > GATE 2013 SET-3 > 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-ekx)/(1-ekL))
C
u = U((1-e-kx)/(1-e-kL))
D
u = U((1+ekx)/(1+ekL))

Correct : c

Similar Questions

If x(t) satisfies the differential equation t(dx/dt) + (t−x) = 0 subject to the condition x(1) = 0 then the value of x (2) is ________ (rounded off to 2 decimal...
#200 Fill in the Blanks
Consider the second-order linear ordinary differential equation with the initial conditions The value of y at x=2 equals _______.(Answer in integer)
#257 Fill in the Blanks
For the exact differential equation, , which one of the following is the solution?
#355 MCQ

Related Topics

differential equation mechanical engineering GATE Mechanical 2013 boundary value problem u(x) solution kx exponential decay mechanical engineering gate differential equation boundary conditions exponential function in physics mechanical engineering equations

Unique Visitor Count

Total Unique Visitors

Loading......