GATE CE 2018 Set 1 — Question 47

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MCQ+2 / -0.67Medium1D Wave Equation (Second-Order)Partial Differential EquationsEngineering Mathematics

Engineering Mathematics → Partial Differential Equations → 1D Wave Equation (Second-Order)

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The solution at x=1,t=1x = 1, t = 1 of the partial differential equation 2ux2=252ut2\frac{\partial^2 u}{\partial x^2} = 25 \frac{\partial^2 u}{\partial t^2} subject to initial conditions of u(0)=3xu(0) = 3x and ut(0)=3\frac{\partial u}{\partial t}(0) = 3 is ______
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