Word Count : 92

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To solve the given partial differential equation (PDE): \[ x^2 \frac{\partial^2 z}{\partial x^2} - y^2 \frac{\partial^2 z}{\partial y^2} + x \frac{\partial z}{\partial x} __________ ____ ______ ___ _________ __________ _____ ________ ________ _______ ___.
______ ____ ____ __________ ____ _______.
__________ _____ _____ ______ ________ ________ __________.
_____ ________ ________ _____ ______ __________ ________ _________ ________ ____ __________ ______.
_____ _________ _______ ________ ______ __________ __________ ____ __________ ________ ___ ____.
______ ___ ______ __________ _____ __________ _______ ___.
_________ ___ ___ _____ __________ ________ ____ _________ _____ _________ _________ ____.
__________.
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