GATE XE (Engineering Sciences) 2012 - Question 17

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Section: Engineering Mathematics | Marks: 1

For the solution of 2 0 u ∇ = , the domain and boundary conditions are shown below. Which of the following statements is TRUE?

Figure for question 17, GATE XE (Engineering Sciences) 2012

  • A. The solution cannot be obtained using separation of variables because the governing equation is non-separable.
  • B. The solution cannot be obtained using separation of variables because all the boundary values are non-zero.
  • C. The solution cannot be obtained using separation of variables because not all the boundaries are along constant coordinate lines.
  • D. The solution can be obtained by separation of variables.

Answer: C. The solution cannot be obtained using separation of variables because not all the boundaries are along constant coordinate lines.

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