1/sin(phi) * d/d\phi(sin(phi) * du/d\phi) - d^2u/dt^2 = -sin 2t
for 0<\phi < pi, 0<t<\inf
Init. conditions:
u(\phi,0) = 0
du(\phi,0)/dt = 0 for 0<\phi<pi
How do I solve this problem and show if it exhibits resonance?
the natural frequencies are w = w_n = sqrt(/\_n) =2...
How do you solve this type of PDE problem:
\int^t_0 e^{-(t-\tau)}\frac{d^2u}{dx^2} d\tau - \frac{du}{dt} = 0
where u(x,0) = sin x
Any links or info on this will be appreciated.
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