(2x^3-xy^2)dx+(2y^3-x^2y)dy=0 求通解
问题描述：
(2x^3-xy^2)dx+(2y^3-x^2y)dy=0 求通解
答
2x^3dx-xy^2dx+2y^3dy-x^ydy=0
d[(1/2)x^4+(1/2)y^4-(1/2)(xy)^2]=0
d[x^4+y^4-(xy)^2]=0
通解为：[x^4+y^4-(xy)^2]＝C
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