題組內容
2. (10%) The differential equation is $(1 + \ln x + \frac{y}{x})dx = (1 - \ln x)dy$.
(1) Prove the given differential equation is exact.
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2. (10%) The differential equation is $(1 + \ln x + \frac{y}{x})dx = (1 - \ln x)dy$.
(1) Prove the given differential equation is exact.