GATE XE (Engineering Sciences) 2007 - Question 4

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Section: Engineering Mathematics | Marks: 1

Let $u(x,t)$ be the solution of the initial value problem $\frac{\partial^2 u}{\partial t^2} = 9\frac{\partial^2 u}{\partial x^2}$, $t > 0$, $-\infty < x < \infty$, $u(x,0) = x + 5$, $\frac{\partial u}{\partial t}(x,0) = 0$. Then $u(2,2)$ is

  • A. 7
  • B. 13
  • C. 14
  • D. 26

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