3. (15%) Let z = f(x, y) and $ze^2 - x^2y = 0$.
Prove that $x\frac{\partial z}{\partial x} - y\frac{\partial z}{\partial y} = 1 - \frac{1}{1 + z}$$, if $z \neq -1$.
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阿摩線上測驗
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3. (15%) Let z = f(x, y) and $ze^2 - x^2y = 0$.
Prove that $x\frac{\partial z}{\partial x} - y\frac{\partial z}{\partial y} = 1 - \frac{1}{1 + z}$$, if $z \neq -1$.