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- a'(t) = b(t) / b0(t) - a(t) / a0(t)
- b'(t) = a(t) / a0(t) - b(t) / b0(0)
- a0(t) = 1 / (1 + exp(20 * (t - 0.6))
- b0(t) = 1 / (1 + exp(20 * (t - 0.3))
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