A rectangular membrane with fixed edges oscillates according to the wave equation: ∂^2u/∂t^2 = ∂^2u/∂x^2 + ∂^2u/∂y^2 , 0
Posted: Tue Apr 26, 2022 8:54 pm
A rectangular membrane with fixed edges oscillates according to
the wave equation:
∂^2u/∂t^2 = ∂^2u/∂x^2 + ∂^2u/∂y^2 , 0 ≤ x ≤ a , 0 ≤ y ≤ b
.
Find the deflection of the membrane u(x, y, t) if the initial
velocity is
[∂u/∂t] at t=0 = 0
and the initial deflection is
u(x, y, 0) = sin(2πx/a) . sin (3πy/b) .
the wave equation:
∂^2u/∂t^2 = ∂^2u/∂x^2 + ∂^2u/∂y^2 , 0 ≤ x ≤ a , 0 ≤ y ≤ b
.
Find the deflection of the membrane u(x, y, t) if the initial
velocity is
[∂u/∂t] at t=0 = 0
and the initial deflection is
u(x, y, 0) = sin(2πx/a) . sin (3πy/b) .