The total differential equation corresponding to the family of surfaces , 3 2 x z + x y = c where c is a parameter is 

To verify the total differential equation corresponding to the given family of surfaces \(3x^2z + xy = c\), where \(c\) is a parameter, let's first differentiate the equation with respect to \(x\), \(y\), and \(z\) ________ ________ _____ ______ ____ _____ _________ ____ ___ ______.
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___ _________ _______ ___ _____ _________ ______ ________ ____.
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________ ____ ___ _________ ______ ______ __________ ___ _______ ________ ______.
___ _____ ______ _____ ____ ______ _____ ______ _______ __________ ______.
_____ _____ _______ _____ _______ _________ ____ ____ _______ ____.
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