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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 Euler's method, Runge-Kutta, etc.) for solving the system given initial conditions. We can rewrite ______ _______ ______ __________ __________ _______ _____ ________ ________ _____.
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