Eq. (54) solves Eq. (47): $\frac{d}{dt}(\beta_kK_k)+\beta_kK_kF_k=0$ · Prove2Me

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Eq. (54) solves Eq. (47): $\frac{d}{dt}(\beta_kK_k)+\beta_kK_kF_k=0$ · Prove2Me