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

admin2019-07-22  20

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 [*]

解析
转载请注明原文地址:https://kaotiyun.com/show/ghN4777K
0

最新回复(0)