Biomedical Engineering > GATE 2021 > Partial Differential Equations
Consider the following first order partial differential equation, also known as the transport equation
∂y(x,t)/∂t + 5∂y(x,t)/∂x = 0
with initial conditions given by y(x,0) = sin x, -∞ < x < ∞. The value of y(x,t) at x = π and t = π/6 is _______.
∂y(x,t)/∂t + 5∂y(x,t)/∂x = 0
with initial conditions given by y(x,0) = sin x, -∞ < x < ∞. The value of y(x,t) at x = π and t = π/6 is _______.
Correct : d
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