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Let’s solve these differential equations numerically: ### i) We are given the system: \[ \frac{dx}{y^2(x - y)} = \frac{dy}{x^2(x - y)} = \frac{dz}{z(x^2 + y^2)} \] We can treat these as a system of three equations, but the challenge is to solve them simultaneously. The key idea here is to find a numerical method (such as ______ ________ ____ ____ ___ ______ __________ ________ __________.
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