![ordinary differential equations - How is $\frac{dx }{z(x+y) } = \frac{dy}{z(x-y) } = \frac{dz }{x^2 + y^2 } $ equivalent to $\frac{ y dx + xdy - zdz}{0}=\frac{ xdx - ydy -zdz}{0}$? - ordinary differential equations - How is $\frac{dx }{z(x+y) } = \frac{dy}{z(x-y) } = \frac{dz }{x^2 + y^2 } $ equivalent to $\frac{ y dx + xdy - zdz}{0}=\frac{ xdx - ydy -zdz}{0}$? -](https://i.stack.imgur.com/yJ00b.png)
ordinary differential equations - How is $\frac{dx }{z(x+y) } = \frac{dy}{z(x-y) } = \frac{dz }{x^2 + y^2 } $ equivalent to $\frac{ y dx + xdy - zdz}{0}=\frac{ xdx - ydy -zdz}{0}$? -
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![SOLVED: EXAMPLE 4 Find dz/dx and dz/dy if z is defined implicitly as a function of x and y by the equation x6 + y6 + 26 + 12xyz 1. SOLUTION To SOLVED: EXAMPLE 4 Find dz/dx and dz/dy if z is defined implicitly as a function of x and y by the equation x6 + y6 + 26 + 12xyz 1. SOLUTION To](https://cdn.numerade.com/ask_images/3fb9ff70e75e4bb09957e68f3e4b5378.jpg)