1/sin(phi) * d/d\phi(sin(phi) * du/d\phi) - d^2u/dt^2 = -sin 2t(adsbygoogle = window.adsbygoogle || []).push({});

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, correct?

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# Resonance pde wave equation u(\phi,t) involving lagrange polynomials

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