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To solve the first-order partial differential equation numerically using Jacobi’s method, we need to follow the steps for solving a nonlinear first-order PDE using the method of complete integrals. --- ### Given PDE: \[ 2u_1 xz + 3u_2 y^2 + u_2^2 u_3 = 0 \] where \( u_1, u_2, u_3 \) are partial derivatives of the unknown function \( u(x, y, z) \): \[ u_1 = \frac{\partial u}{\partial _____ ___ __________ __________ __________.
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