Word Count : 490

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We are tasked with solving the general integral of the partial differential equation (PDE): \[ p^2 - q^2 = 4 \] where \( p \) and \( q \) are the partial derivatives of \( z \) with respect to \( x \) and \( y \), respectively. The expression for the complete integral of the PDE is given as: \[ z = ax + \sqrt{a^2 - 4y} + c \] We will proceed step-by-step to find the general integral. ### Step 1: Identify the relationships between \( p \), \( q \), and the given expression We _______ ____ _____ _______ ____ __________ ______ __________ __________ _______ ______ ________.
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