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Consider the harmonic oscillator equation (with m=1),
x''+bx'+kx=0
where b≥0 and k>0. Identify the regions in the relevant portion of the bk-plane where the corresponding system has similar phase portraits.
I'm not sure exactly where to start with this one. Any ideas?
x''+bx'+kx=0
where b≥0 and k>0. Identify the regions in the relevant portion of the bk-plane where the corresponding system has similar phase portraits.
I'm not sure exactly where to start with this one. Any ideas?