Word Count : 281

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We are given the simultaneous differential equations: \[ \frac{dx}{y - z} = \frac{dy}{z - x} = \frac{dz}{x - y} \] ### Step 1: Introducing a Common Parameter Let: \[ \frac{dx}{y - z} = \frac{dy}{z - x} = \frac{dz}{x - y} = k \] where \( k \) is a parameter. ### Step 2: Expressing Variables in Terms of \( k \) From the definition of \( k \), we obtain: _______ _________ _____ __________ _________ __________ ________ _________ ____.
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