2. 考研
  3. 求(y3一3xy2一3x2y)dx+(3xy2一3x2y—x3+y2)dy=0的通解．

求(y3一3xy2一3x2y)dx+(3xy2一3x2y—x3+y2)dy=0的通解．

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问题 求(y3一3xy2一3x2y)dx+(3xy2一3x2y—x3+y2)dy=0的通解．
选项
答案将原给方程通过观察分项组合． (y3一3xy2一3x2y)dx+(3xy2一3x2y—x3+y2)dy =(y3dx+3xy2dy)一3xy(ydx+xdy)一(3x2ydx+x3dy)+y2dy =0， 即 [*]
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考研数学二

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