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 ________ _____ _____ ___ __________ ___ ___ _______ ____.
____ ______ ________ ___ ___ _________ ______.
___ ____ ___ ___ __________ __________ ____ _____ _____ ________ _____.
_________ _____ ____ ___ _______ ________ _________ ____ _________.
________ _________ __________ ______ ___ __________ __________ ________.
________ __________ _______ ___ ______.
____ _________ _________ __________ _______ _______ _____.
_____ _________ ______ ________ ___ ___ _________ _________ ______ ______ ____ __________.
________ _____ _________ ____ _______ _______ _________ __________ _____.
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