三道高数题,求助!1.设z是正整数,并且x乘以y的z次方dx+x的z次方乘以ydy是某个函数u(x,y)的全微分,则z等于多少?PS:我想就是套用哪个公式或者定理即可,但书上全微分的部分我没找到,答案我有,请
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![三道高数题,求助!1.设z是正整数,并且x乘以y的z次方dx+x的z次方乘以ydy是某个函数u(x,y)的全微分,则z等于多少?PS:我想就是套用哪个公式或者定理即可,但书上全微分的部分我没找到,答案我有,请](/uploads/image/z/2591554-58-4.jpg?t=%E4%B8%89%E9%81%93%E9%AB%98%E6%95%B0%E9%A2%98%2C%E6%B1%82%E5%8A%A9%211.%E8%AE%BEz%E6%98%AF%E6%AD%A3%E6%95%B4%E6%95%B0%2C%E5%B9%B6%E4%B8%94x%E4%B9%98%E4%BB%A5y%E7%9A%84z%E6%AC%A1%E6%96%B9dx%2Bx%E7%9A%84z%E6%AC%A1%E6%96%B9%E4%B9%98%E4%BB%A5ydy%E6%98%AF%E6%9F%90%E4%B8%AA%E5%87%BD%E6%95%B0u%28x%2Cy%29%E7%9A%84%E5%85%A8%E5%BE%AE%E5%88%86%2C%E5%88%99z%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%3FPS%EF%BC%9A%E6%88%91%E6%83%B3%E5%B0%B1%E6%98%AF%E5%A5%97%E7%94%A8%E5%93%AA%E4%B8%AA%E5%85%AC%E5%BC%8F%E6%88%96%E8%80%85%E5%AE%9A%E7%90%86%E5%8D%B3%E5%8F%AF%2C%E4%BD%86%E4%B9%A6%E4%B8%8A%E5%85%A8%E5%BE%AE%E5%88%86%E7%9A%84%E9%83%A8%E5%88%86%E6%88%91%E6%B2%A1%E6%89%BE%E5%88%B0%2C%E7%AD%94%E6%A1%88%E6%88%91%E6%9C%89%2C%E8%AF%B7)
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