Aerospace Engineering > GATE 2017 > Partial Differential Equations
Let u(x,t) denote the displacement of a point on a rod. The displacement satisfies the following equation of motion:
∂2u/∂t2-25∂2u/∂x2=0 , 0
with u(x,0)=0.01sin(10πx), ∂u/∂t(x,0)=0; u(0,t)=0, u(1,t)=0 The value of u(0.25,1) is _______ (in three decimal places).
∂2u/∂t2-25∂2u/∂x2=0 , 0
with u(x,0)=0.01sin(10πx), ∂u/∂t(x,0)=0; u(0,t)=0, u(1,t)=0 The value of u(0.25,1) is _______ (in three decimal places).
Correct : 0.008 to 0.012
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