1. y(∂z/∂x) + z(∂z/∂y) = (y/x) 2. x^2 (∂z/∂x) − xy(∂z/∂y) + y^2 = 0 3. { (((∂z/∂x) = (z/x))),(((∂z/∂y) = ((2z)/y))) :}


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Question Number 143006 by mathdanisur last updated on 08/Jun/21
$1. y(∂z/∂x) + z(∂z/∂y) = (y/x) 2. x^2 (∂z/∂x) − xy(∂z/∂y) + y^2 = 0 3. { (((∂z/∂x) = (z/x))),(((∂z/∂y) = ((2z)/y))) :}$
$1 . y \frac{\partial z}{\partial x} + z \frac{\partial z}{\partial y} = \frac{y}{x}$ $2 . x^{2} \frac{\partial z}{\partial x} - x y \frac{\partial z}{\partial y} + y^{2} = 0$ $3 . {\begin{cases} \frac{\partial z}{\partial x} = \frac{z}{x} \\ \frac{\partial z}{\partial y} = \frac{2 z}{y} \end{cases}$
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